Log in

Relevant bibliographies by topics / Elliptic manifold / Dissertations / Theses

Dissertations / Theses on the topic 'Elliptic manifold'

To see the other types of publications on this topic, follow the link: Elliptic manifold.

Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 dissertations / theses for your research on the topic 'Elliptic manifold.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse dissertations / theses on a wide variety of disciplines and organise your bibliography correctly.

1

Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Elliptic theory on manifolds with nonisolated singularities : V. Index formulas for elliptic problems on manifolds with edges." Universität Potsdam, 2003. http://opus.kobv.de/ubp/volltexte/2008/2650/.

Full text

Abstract:

For elliptic problems on manifolds with edges, we construct index formulas in form of a sum of homotopy invariant contributions of the strata (the interior of the manifold and the edge). Both terms are the indices of elliptic operators, one of which acts in spaces of sections of finite-dimensional vector bundles on a compact closed manifold and the other in spaces of sections of infinite-dimensional vector bundles over the edge.

APA, Harvard, Vancouver, ISO, and other styles

2

Nazaikinskii, Vladimir, and Boris Sternin. "On surgery in elliptic theory." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2587/.

Full text

Abstract:

We prove a general theorem on the behavior of the relative index under surgery for a wide class of Fredholm operators, including relative index theorems for elliptic operators due to Gromov-Lawson, Anghel, Teleman, Booß-Bavnbek-Wojciechowski, et al. as special cases. In conjunction with additional conditions (like symmetry conditions), this theorem permits one to compute the analytical index of a given operator. In particular, we obtain new index formulas for elliptic pseudodifferential operators and quantized canonical transformations on manifolds with conical singularities.

APA, Harvard, Vancouver, ISO, and other styles

3

Nazaikinskii, Vladimir, Bert-Wolfgang Schulze, and Boris Sternin. "Localization problem in index theory of elliptic operators." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2617/.

Full text

Abstract:

This is a survey of recent results concerning the general index locality principle, associated surgery, and their applications to elliptic operators on smooth manifolds and manifolds with singularities as well as boundary value problems. The full version of the paper is submitted for publication in Russian Mathematical Surveys.

APA, Harvard, Vancouver, ISO, and other styles

4

Lu, Nan. "Normally elliptic singular perturbation problems: local invariant manifolds and applications." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/41090.

Full text

Abstract:

In this thesis, we study the normally elliptic singular perturbation problems including both finite and infinite dimensional cases, which could also be non-autonomous. In particular, we establish the existence and smoothness of O(1) local invariant manifolds and provide various estimates which are independent of small singular parameters. We also use our results on local invariant manifolds to study the persistence of homoclinic solutions under weakly dissipative and conservative per- turbations. We apply Semi-group Theory and Lyapunov-Perron Integral Equations with some careful estimates to handle the O(1) driving force in the system so that we can approximate the full system through some simpler limiting system. In the investigation of homoclinics, a diagonalization procedure and some normal form transformation should be first carried out. Such diagonalization procedure is not trivial at all. We discuss this issue in the appendix. We use Melnikov type analysis to study the weakly dissipative case, while the conservative case is based on some energy methods. As a concrete example, we have shown rigrously the persistence of homoclinic solutions of an elastic pendulum model which may be affected by damping, external forcing and other potential fields.

APA, Harvard, Vancouver, ISO, and other styles

5

Egorov, Yu, V. Kondratiev, and Bert-Wolfgang Schulze. "On completeness of eigenfunctions of an elliptic operator on a manifold with conical points." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2593/.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Schulze, Bert-Wolfgang, Vladimir E. Nazaikinskii, and Boris Yu Sternin. "On the homotopy classification of elliptic operators on manifolds with singularities." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2557/.

Full text

Abstract:

We study the homotopy classification of elliptic operators on manifolds with singularities and establish necessary and sufficient conditions under which the classification splits into terms corresponding to the principal symbol and the conormal symbol.

APA, Harvard, Vancouver, ISO, and other styles

7

Nazaikinskii, Vladimir E., and Boris Yu Sternin. "Surgery and the relative index in elliptic theory." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2553/.

Full text

Abstract:

We prove a general theorem on the local property of the relative index for a wide class of Fredholm operators, including relative index theorems for elliptic operators due to Gromov-Lawson, Anghel, Teleman, Booß-Bavnbek-Wojciechowski, et al. as special cases. In conjunction with additional conditions (like symmetry conditions) this theorem permits one to compute the analytical index of a given operator. In particular, we obtain new index formulas for elliptic pseudodifferential operators and quantized canonical transformations on manifolds with conical singularities as well as for elliptic boundary value problems with a symmetry condition for the conormal symbol.

APA, Harvard, Vancouver, ISO, and other styles

8

Delengov, Vladimir. "Computing Eigenmodes of Elliptic Operators on Manifolds Using Radial Basis Functions." Scholarship @ Claremont, 2018. https://scholarship.claremont.edu/cgu_etd/113.

Full text

Abstract:

In this work, a numerical approach based on meshless methods is proposed to obtain eigenmodes of Laplace-Beltrami operator on manifolds, and its performance is compared against existing alternative methods. Radial Basis Function (RBF)-based methods allow one to obtain interpolation and differentiation matrices easily by using scattered data points. We derive expressions for such matrices for the Laplace-Beltrami operator via so-called Reilly’s formulas and use them to solve the respective eigenvalue problem. Numerical studies of proposed methods are performed in order to demonstrate convergence on simple examples of one-dimensional curves and two-dimensional surfaces.

APA, Harvard, Vancouver, ISO, and other styles

9

Guillermou, Stéphane. "Classe de Lefschetz des paires elliptiques." Paris 6, 1995. http://www.theses.fr/1995PA066339.

Full text

Abstract:

A la donnee d'une variete analytique complexe, d'une paire elliptique sur cette variete (i. E. Un d-module et un faisceau constructible dont les varietes caracteristiques n'ont pas d'intersection hors de la section nulle du fibre cotangent), d'un morphisme de cette variete dans elle-meme et d'un releve de ce morphisme pour la paire elliptique nous associons une classe de cohomologie microlocale. Nous montrons une formule d'image directe relative et une formule de produit pour cette classe, nous la calculons dans le cas transverse et en etudions des deformations. Ceci permet en particulier de retrouver la formule de lefschetz des complexes elliptiques de m. Atiyah et r. Bott

APA, Harvard, Vancouver, ISO, and other styles

10

Lekaus, Silke. "Vector bundles of degree zero over an elliptic curve, flat bundles and Higgs bundles over a compact Kähler manifold." [S.l. : s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=964273802.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Weber, Patrick. "Cohomology groups on hypercomplex manifolds and Seiberg-Witten equations on Riemannian foliations." Doctoral thesis, Universite Libre de Bruxelles, 2017. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/252914.

Full text

Abstract:

The thesis comprises two parts. In the first part, we investigate various cohomological aspects of hypercomplex manifolds and analyse the existence of special metrics. In the second part, we define Seiberg-Witten equations on the leaf space of manifolds which admit a Riemannian foliation of codimension four.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished

APA, Harvard, Vancouver, ISO, and other styles

12

Lima, Sandra Machado de Souza. "Existência de soluções para duas classes de problemas elípticos usando a aplicação fibração relacionada à variedade de Nehari." Universidade Federal de Juiz de Fora (UFJF), 2014. https://repositorio.ufjf.br/jspui/handle/ufjf/4700.

Full text

Abstract:

Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-05-26T17:51:05Z No. of bitstreams: 1 sandramachadodesouzalima.pdf: 680308 bytes, checksum: 1b724b63bb7a52093f6e1411a716269f (MD5)
Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-05-29T18:54:12Z (GMT) No. of bitstreams: 1 sandramachadodesouzalima.pdf: 680308 bytes, checksum: 1b724b63bb7a52093f6e1411a716269f (MD5)
Made available in DSpace on 2017-05-29T18:54:12Z (GMT). No. of bitstreams: 1 sandramachadodesouzalima.pdf: 680308 bytes, checksum: 1b724b63bb7a52093f6e1411a716269f (MD5) Previous issue date: 2014-07-03
FAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais
A variedade de Nehari para a equação −∆u(x) = λa(x)u(x)q + b(x)u(x)p, com x ∈ Ω, junto com a condição de fronteira de Dirichlet é investigada no caso em que a(x) = 1, λ ∈R, q = 1 e 0 < p < 1, e também no caso em que λ > 0 e 0 < q < 1 < p < 2∗−1. Explorando a relação entre a variedade de Nehari e a aplicação fibração ( isto é, aplicações da forma t → J(tu) onde J é o funcional de Euler associado ao problema em questão), iremos discutir a existência e multiplicidade de soluções não negativas.
The Nehari Manifold for the equation −∆u(x) = λa(x)u(x)q + b(x)u(x)p, for x ∈ Ω together with Dirichlet boundary conditions is investigated in which case a(x) = 1, λ ∈R, q = 1 and 0 < p < 1, and also in the case that λ > 0 and 0 < q < 1 < p < 2∗−1. Exploring the relationship between the Nehari manifold and fibering maps (i.e., maps of the form t → J(tu) where J is the Euler functional associated to the above equation), we will discuss the existence and multiplicity of non negative solutions.

APA, Harvard, Vancouver, ISO, and other styles

13

Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Elliptic theory on manifolds with nonisolated singularities : II. Products in elliptic theory on manifolds with edges." Universität Potsdam, 2002. http://opus.kobv.de/ubp/volltexte/2008/2633/.

Full text

Abstract:

Exterior tensor products of elliptic operators on smooth manifolds and manifolds with conical singularities are used to obtain examples of elliptic operators on manifolds with edges that do not admit well-posed edge boundary and coboundary conditions.

APA, Harvard, Vancouver, ISO, and other styles

14

Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Elliptic theory on manifolds with nonisolated singularities : IV. Obstructions to elliptic problems on manifolds with edges." Universität Potsdam, 2002. http://opus.kobv.de/ubp/volltexte/2008/2641/.

Full text

Abstract:

The obstruction to the existence of Fredholm problems for elliptic differentail operators on manifolds with edges is a topological invariant of the operator. We give an explicit general formula for this invariant. As an application we compute this obstruction for geometric operators.

APA, Harvard, Vancouver, ISO, and other styles

15

Fougeirol, Jérémie. "Structure de variété de Hilbert et masse sur l'ensemble des données initiales relativistes faiblement asymptotiquement hyperboliques." Thesis, Avignon, 2017. http://www.theses.fr/2017AVIG0417/document.

Full text

Abstract:

La relativité générale est une théorie physique de la gravitation élaborée il y a un siècle, dans laquelle l'univers est modélisé par une variété Lorentzienne (N,gamma) de dimension 4 appelée espace-temps et vérifiant les équations d'Einstein. Lorsque l'on sépare la dimension temporelle des trois dimensions spatiales, les équations de contrainte découlent naturellement de la décomposition 3+1 des équations d'Einstein. Elles constituent une condition nécessaire et suffisante pour pouvoir considérer l'espace-temps N comme l'évolution temporelle d'une hypersurface Riemannienne (m,g) plongée dans N avec une seconde forme fondamentale K. Le triplet (m,g,K) constitue alors une donnée initiale solution des équations de contrainte dont on note C l'ensemble. Dans cette thèse, nous utilisons la méthode de Robert Bartnik pour établir la structure de sous-variété de Hilbert de C pour des données initiales faiblement asymptotiquement hyperboliques, dont la régularité peut être reliée à la conjecture de courbure L^{2} bornée. Les difficultés inhérentes au cas faiblement AH ont nécessité l'introduction de deux opérateurs différentiels d'ordre deux et l'obtention d'estimées de type Poincaré et Korn pour ces opérateurs. Une fois la structure de Hilbert obtenue, nous définissons une fonctionnelle masse lisse sur la sous-variété C et compatible avec nos conditions de faible régularité. L'invariance géométrique de la masse est étudiée et montrée, modulo une conjecture en faible régularité relative au changement de cartes au voisinage de l'infini. Enfin, nous faisons le lien entre les points critiques de la masse et les métriques statiques
General relativity is a gravitational theory born a century ago, in which the universe is a 4-dimensional Lorentzian manifold (N,gamma) called spacetime and satisfying Einstein's field equations. When we separate the time dimension from the three spatial ones, constraint equations naturally follow on from the 3+1 décomposition of Einstein's equations. Constraint equations constitute a necessary condition,as well as sufficient, to consider the spacetime N as the time evolution of a Riemannian hypersurface (m,g) embeded into N with the second fundamental form K. (m,g,K) is then an element of C, the set of initial data solutions to the constraint equations. In this work, we use Robert Bartnik's method to provide a Hilbert submanifold structure on C for weakly asymptotically hyperbolic initial data, whose regularity can be related to the bounded L^{2} curvature conjecture. Difficulties arising from the weakly AH case led us to introduce two second order differential operators and we obtain Poincaré and Korn-type estimates for them. Once the Hilbert structure is properly described, we define a mass functional smooth on the submanifold C and compatible with our weak regularity assumptions. The geometrical invariance of the mass is studied and proven, only up to a weak regularity conjecture about coordinate changes near infinity. Finally, we make a correspondance between critical points of the mass and static metrics

APA, Harvard, Vancouver, ISO, and other styles

16

Schulze, Bert-Wolfgang. "Elliptic differential operators on manifolds with edges." Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2009/3018/.

Full text

Abstract:

On a manifold with edge we construct a specific class of (edgedegenerate) elliptic differential operators. The ellipticity refers to the principal symbolic structure σ = (σψ, σ^) of the edge calculus consisting of the interior and edge symbol, denoted by σψ and σ^, respectively. For our choice of weights the ellipticity will not require additional edge conditions of trace or potential type, and the operators will induce isomorphisms between the respective edge spaces.

APA, Harvard, Vancouver, ISO, and other styles

17

Kangaslampi, Riikka. "Uniformly quasiregular mappings on elliptic riemannian manifolds /." Helsinki : Suomalainen Tiedeakat, 2008. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=018603114&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Grünberg, Daniel Benoni. "Gromow-Witten invariants and elliptic genera." [S.l. : Amsterdam : s.n.] ; Universiteit van Amsterdam [Host], 2004. http://dare.uva.nl/document/74057.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Krainer, Thomas. "Resolvents of elliptic boundary problems on conic manifolds." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2977/.

Full text

Abstract:

We prove the existence of sectors of minimal growth for realizations of boundary value problems on conic manifolds under natural ellipticity conditions. Special attention is devoted to the clarification of the analytic structure of the resolvent.

APA, Harvard, Vancouver, ISO, and other styles

20

Krainer, Thomas. "Elliptic boundary problems on manifolds with polycylindrical ends." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2991/.

Full text

Abstract:

We investigate general Shapiro-Lopatinsky elliptic boundary value problems on manifolds with polycylindrical ends. This is accomplished by compactifying such a manifold to a manifold with corners of in general higher codimension, and we then deal with boundary value problems for cusp differential operators. We introduce an adapted Boutet de Monvel’s calculus of pseudodifferential boundary value problems, and construct parametrices for elliptic cusp operators within this calculus. Fredholm solvability and elliptic regularity up to the boundary and up to infinity for boundary value problems on manifolds with polycylindrical ends follows.

APA, Harvard, Vancouver, ISO, and other styles

21

Ramos, Álvaro Krüger. "Constant mean curvature hypersurfaces on symmetric spaces, minimal graphs on semidirect products and properly embedded surfaces in hyperbolic 3-manifolds." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2015. http://hdl.handle.net/10183/118222.

Full text

Abstract:

Provamos resultados sobre a geometria de hipersuperfícies em diferentes espaços ambiente. Primeiro, definimos uma aplicação de Gauss generalizada para uma hipersuperfície Mn-1 c/ Nn, onde N é um espaço simétrico de dimensão n ≥ 3. Em particular, generalizamos um resultado de Ruh-Vilms e apresentamos aplicações. Em seguida, estudamos superfícies em espaços de dimensão 3: estudamos a equação da curvatura média em um produto semidireto R2oAR e obtemos estimativas da altura e a existência de gráficos mínimos do tipo Scherk. Finalmente, no espaço ambiente de uma variedade hiperbólica de dimensão 3: nós apresentamos condições suficientes para que um mergulho completo de uma superfície ∑ de topologia finita em N com curvatura média |H∑| ≤ 1 seja próprio.
We prove results concerning the geometry of hypersurfaces on di erent ambient spaces. First, we de ne a generalized Gauss map for a hypersurface Mn-1 c/ Nn, where N is a symmetric space of dimension n ≥ 3. In particular, we generalize a result due to Ruh-Vilms and make some applications. Then, we focus on surfaces on spaces of dimension 3: we study the mean curvature equation of a semidirect product R2 oA R to obtain height estimates and the existence of a Scherk-like minimal graph. Finally, on the ambient space of a hyperbolic manifold N of dimension 3 we give su cient conditions for a complete embedding of a nite topology surface ∑ on N with mean curvature |H∑| ≤ 1 to be proper.

APA, Harvard, Vancouver, ISO, and other styles

22

Schulze, Bert-Wolfgang, and Nikolai N. Tarkhanov. "Elliptic complexes of pseudodifferential operators on manifolds with edges." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2525/.

Full text

Abstract:

On a compact closed manifold with edges live pseudodifferential operators which are block matrices of operators with additional edge conditions like boundary conditions in boundary value problems. They include Green, trace and potential operators along the edges, act in a kind of Sobolev spaces and form an algebra with a wealthy symbolic structure. We consider complexes of Fréchet spaces whose differentials are given by operators in this algebra. Since the algebra in question is a microlocalization of the Lie algebra of typical vector fields on a manifold with edges, such complexes are of great geometric interest. In particular, the de Rham and Dolbeault complexes on manifolds with edges fit into this framework. To each complex there correspond two sequences of symbols, one of the two controls the interior ellipticity while the other sequence controls the ellipticity at the edges. The elliptic complexes prove to be Fredholm, i.e., have a finite-dimensional cohomology. Using specific tools in the algebra of pseudodifferential operators we develop a Hodge theory for elliptic complexes and outline a few applications thereof.

APA, Harvard, Vancouver, ISO, and other styles

23

Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. "The index of elliptic operators on manifolds with conical points." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2509/.

Full text

Abstract:

For general elliptic pseudodifferential operators on manifolds with singular points, we prove an algebraic index formula. In this formula the symbolic contributions from the interior and from the singular points are explicitly singled out. For two-dimensional manifolds, the interior contribution is reduced to the Atiyah-Singer integral over the cosphere bundle while two additional terms arise. The first of the two is one half of the 'eta' invariant associated to the conormal symbol of the operator at singular points. The second term is also completely determined by the conormal symbol. The example of the Cauchy-Riemann operator on the complex plane shows that all the three terms may be non-zero.

APA, Harvard, Vancouver, ISO, and other styles

24

Schulze, Bert-Wolfgang, Vladimir Nazaikinskii, Boris Sternin, and Victor Shatalov. "Spectral boundary value problems and elliptic equations on singular manifolds." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2514/.

Full text

Abstract:

For elliptic operators on manifolds with boundary, we define spectral boundary value problems, which generalize the Atiyah-Patodi-Singer problem to the case of nonhomogeneous boundary conditions, operators of arbitrary order, and nonself-adjoint conormal symbols. The Fredholm property is proved and equivalence with certain elliptic equations on manifolds with conical singularities is established.

APA, Harvard, Vancouver, ISO, and other styles

25

Schulze, Bert-Wolfgang, and Nikolai Tarkhanov. "Asymptotics of solutions to elliptic equatons on manifolds with corners." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2571/.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Differential operators on manifolds with singularities : analysis and topology : Chapter 6: Elliptic theory on manifolds with edges." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2675/.

Full text

Abstract:

Contents: Chapter 6: Elliptic Theory on Manifolds with Edges Introduction 6.1. Motivation and Main Constructions 6.1.1. Manifolds with edges 6.1.2. Edge-degenerate differential operators 6.1.3. Symbols 6.1.4. Elliptic problems 6.2. Pseudodifferential Operators 6.2.1. Edge symbols 6.2.2. Pseudodifferential operators 6.2.3. Quantization 6.3. Elliptic Morphisms and the Finiteness Theorem 6.3.1. Matrix Green operators 6.3.2. General morphisms 6.3.3. Ellipticity, Fredholm property, and smoothness Appendix A. Fiber Bundles and Direct Integrals A.1. Local theory A.2. Globalization A.3. Versions of the Definition of the Norm

APA, Harvard, Vancouver, ISO, and other styles

27

Nazaikinskii, Vladimir E., Anton Yu Savin, Bert-Wolfgang Schulze, and Boris Yu Sternin. "On the homotopy classification of elliptic operators on manifolds with edges." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2676/.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Schulze, Bert-Wolfgang, and Nikolai Tarkhanov. "The Riemann-Roch theorem for manifolds with conical singularities." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2505/.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Guo, Sheng. "On Neumann Problems for Fully Nonlinear Elliptic and Parabolic Equations on Manifolds." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1571696906482925.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Wu, Fangbing. "The index theorem for manifolds with cylindrical ends and elliptic boundary value problems /." The Ohio State University, 1989. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487672631601726.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Huang, Yu-Chien Ph D. Massachusetts Institute of Technology. "Elliptic fibrations among toric hypersurface Calabi-Yau manifolds and mirror symmetry of fibrations." Thesis, Massachusetts Institute of Technology, 2019. https://hdl.handle.net/1721.1/124593.

Full text

Abstract:

Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2019
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 245-255).
In this thesis, we investigate the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau three folds by (1) constructing explicitly elliptically fibered Calabi-Yau threefolds with large Hodge numbers using Weierstrass model techniques motivated by F-theory, and comparing the Tate-tuned Wierstrass model set with the set of Calabi-Yau threefolds constructed using toric hypersurface methods, and (2) systematically analyzing directly the fibration structure of 4D reflexive polytopes by classifying all the 2D subpolytopes of the 4D polytopes in the Kreuzer and Skarke database of toric Calabi-Yau hypersurfaces. With the classification of the 2D fibers, we then study the mirror symmetry structure of elliptic toric hypersurface Calabi-Yau threefolds. We show that the mirror symmetry of Calabi-Yau manifolds factorizes between the toric fiber and the base: if there exist 2D mirror fibers of a pair of mirror reflexive polytopes, the base and fibration structure of one hypersurface Calabi-Yau determine the base of the other.
by Yu-Chien Huang.
Ph. D.
Ph.D. Massachusetts Institute of Technology, Department of Physics

APA, Harvard, Vancouver, ISO, and other styles

32

Gajdzinski, Cezary. "L2-Indices for Perturbed Dirac Operators on Odd Dimensional Open Complete Manifolds." Diss., Virginia Tech, 1994. http://hdl.handle.net/10919/40151.

Full text

Abstract:

For perturbations of the Callias and Anghel type the L2-index of the perturbed Dirac operator on a Spin c -manifold is realized as the result of pairing an element in K -homology with an element of compactly supported K -cohomology. This is achieved by putting the problem of calculating the Fredholm index of the perturbed Dirac operator in the framework of KK-theory and using the identification of K-groups with KK-groups. The formula for the Fredholm index is given in terms of topological data of the Spin c-manifold and the structure of the perturbation.
Ph. D.

APA, Harvard, Vancouver, ISO, and other styles

33

Schulze, Bert-Wolfgang, Vladimir Nazaikinskii, and Boris Sternin. "A semiclassical quantization on manifolds with singularities and the Lefschetz Formula for Elliptic Operators." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2529/.

Full text

Abstract:

For general endomorphisms of elliptic complexes on manifolds with conical singularities, the semiclassical asymptotics of the Atiyah-Bott-Lefschetz number is calculated in terms of fixed points of the corresponding canonical transformation of the symplectic space.

APA, Harvard, Vancouver, ISO, and other styles

34

Mun, Byeongju. "Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof." Thesis, University of British Columbia, 2013. http://hdl.handle.net/2429/45031.

Full text

Abstract:

In this paper, a self-contained proof is given to a well-known Harnack inequality of second order nondivergent uniformly elliptic operators on Riemannian manifolds with the condition that M-[R(v )]>0, following the ideas of M. Safonov [5]. Basically, the proof consists of three parts: 1) Critical Density Lemma, 2) Power-Decay of the Distribution Functions of Solutions, and 3)Harnack Inequality.

APA, Harvard, Vancouver, ISO, and other styles

35

Kapanadze, David, and Bert-Wolfgang Schulze. "Boundary value problems on manifolds with exits to infinity." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2572/.

Full text

Abstract:

We construct a new calculus of boundary value problems with the transmission property on a non-compact smooth manifold with boundary and conical exits to infinity. The symbols are classical both in covariables and variables. The operators are determined by principal symbol tuples modulo operators of lower orders and weights (such remainders are compact in weighted Sobolev spaces). We develop the concept of ellipticity, construct parametrices within the algebra and obtain the Fredholm property. For the existence of Shapiro-Lopatinskij elliptic boundary conditions to a given elliptic operator we prove an analogue of the Atiyah-Bott condition.

APA, Harvard, Vancouver, ISO, and other styles

36

Girard, Marie. "Sur les courbes invariantes par un difféomorphisme C1-générique symplectique d’une surface." Thesis, Avignon, 2009. http://www.theses.fr/2009AVIG0406/document.

Full text

Abstract:

Au début du XXème siècle, Poincaré puis Birkhoff ont été amenés, lors de leur recherche sur le problème restreint des trois corps, à étudier les courbes invariantes par une transformation d’une surface préservant l’aire. Cinquante ans plus tard, les théorèmes KAM démontrent la persistance de courbes invariantes après perturbation en topologie de classe k plus grande ou égale à trois. On peut alors se demander ce que devient ce résultat en topologie de classe moins élevée. Par ailleurs, l’étude des dynamiques C1-génériques connaît de nombreux développements, grâce notamment au Connecting Lemma. Par exemple, Bonatti et Crovisier on démontré qu’un difféomorphisme C1-générique d’une telle surface possède un ensemble dense de points dont l’orbite sort de tout compact. Ces deux résultats permettent de penser qu’un difféomorphisme C1-générique d’une surface n’admet pas de courbes fermées simples invariantes. C’est ce que nous démontrons dans ce travail. On obtient assez facilement, en utilisant le Connecting Lemma ainsi que les propriétés topologiques de l’anneau, qu’un difféomorphisme C1-générique de l’anneau possède des points périodiques sur toute courbe fermée simple invariante. Cela se généralise à une surface quelconque en utilisant une famille dénombrable d’anneau constituant une base de voisinages d’une courbe fermée simple quelconque. La construction d’une telle famille d’anneaux est le principal résultat du premier chapitre. Il s’agit alors de supprimer les points périodiques sur les courbes invariantes. Dans un premier temps, nous nous inspirerons d’un argument qu’Herman utilise dans le cadre de courbes invariantes par les twists de l’anneau pour montrer que tous les points périodiques ne peuvent être hyperboliques. Ensuite, nous définissons une propriété, la propriété G, qui si elle est vérifiée par un difféomorphisme symplectique et l’un de ses points périodiques elliptiques, empêche que ce point périodique appartienne à une courbe invariante. En montrant que cette propriété est vérifiée par un difféomorphisme C1-générique et tous ses points périodiques elliptiques, nous obtenons le résultat souhaité. Dans le quatrième chapitre, nous nous employons à définir de façon rigoureuse la notion de fonction génératrice qui est l’outil classique pour perturber des difféomorphismes symplectiques
Poincaré and Birkhoff were led, during their research on the restricted problem of three bodies, to study invariant curves under an area preserving map of a surface. Fifty years later, theorems KAM show the persistance of invariant curves in topology Ck with k greater or equal to three. What becomes this result in topology class lower. Moreover, the study of C1-generic dynamics knows many developments particulary through the Connecting Lemma. For example, Bonatti and Crovisier showed a C1-generic symplectic diffeomorphism of a compact surface is transitive. What they have adapted with M.-C. Arnaud to a non compact surface : a C1-generic symplectic diffeomorphism of a non compact surface has a dense set of points whose orbit leaves every compacts. These two results suggest a such application has not an invariant simple closed curve. The proof of this result is the aim of this work. We obtain, using the Connecting Lemma, a C1-generic symplectic diffeomorphism has periodic points on all the invariant curves. Then, deleting the periodic points from the invariant curves is the challenge. At first, we use an argument that Herman used in the context of curves invariant by a twist of annulus, to show that all periodic points cannot be hyperbolic. Then, we define a property, the property G, which, if it is verified by a symplectic diffeomorphism and one of its periodic elliptic points, prevents this periodic point belongs to an invariant curve. By showing that property is verified by a C1-generic symplectic diffeomorphism, we obtain the desired result. In the fourth chapter, we explain how to pertube a symplectic diffeomorphism with generating functions

APA, Harvard, Vancouver, ISO, and other styles

37

Sousa, Karla Carolina Vicente de. "Problemas elípticos semilineares com não linearidades do tipo côncavo-convexo." Universidade Federal de Goiás, 2017. http://repositorio.bc.ufg.br/tede/handle/tede/6897.

Full text

Abstract:

Submitted by JÚLIO HEBER SILVA (julioheber@yahoo.com.br) on 2017-03-03T18:04:36Z No. of bitstreams: 2 Dissertação - Karla Carolina Vicente de Sousa 2017.pdf: 802534 bytes, checksum: b021fd17684c91eaed58191b3674afd7 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)
Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-03-06T10:40:35Z (GMT) No. of bitstreams: 2 Dissertação - Karla Carolina Vicente de Sousa 2017.pdf: 802534 bytes, checksum: b021fd17684c91eaed58191b3674afd7 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)
Made available in DSpace on 2017-03-06T10:40:35Z (GMT). No. of bitstreams: 2 Dissertação - Karla Carolina Vicente de Sousa 2017.pdf: 802534 bytes, checksum: b021fd17684c91eaed58191b3674afd7 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-03-01
Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq
In this work we study the existence of positive solutions for the following semilinear elliptic problem with concave-convex nonlinearities    −∆u = λa(x)u q +b(x)u p , x ∈ Ω u = 0, x ∈ ∂Ω where Ω is a bounded domain in R N with smooth boundary and 0 < q < 1 < p < 2 ∗−1 (where 2∗−1 = +∞, if N = 1 or N = 2 and 2∗−1 = N+2 N−2 , where N ≥ 3). Furthermore, λ > 0 is a parameter and a,b : Ω → R are continuous functions which are somewhere positives, however, such functions may change sign in Ω.
Neste trabalho estudaremos a existência de soluções positivas para o seguinte problema elíptico semilinear com não linearidades do tipo côncavo-conexo    −∆u = λa(x)u q +b(x)u p , x ∈ Ω u = 0, x ∈ ∂Ω onde Ω é uma domínio limitado de R N , com bordo regular e 0 < q < 1 < p < 2 ∗ −1 (onde 2∗ −1 = +∞, se N = 1 ou N = 2 e 2∗ −1 = N+2 N−2 , quando N ≥ 3). Além disso, λ > 0 é um parâmetro e a,b : Ω → R são funções contínuas que assumem valores positivos, porém, tais funções podem mudar de sinal em Ω.

APA, Harvard, Vancouver, ISO, and other styles

38

Nazaikinskii, Vladimir, Bert-Wolfgang Schulze, Boris Sternin, and Victor Shatalov. "A Lefschetz fixed point theorem for manifolds with conical singularities." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2507/.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Elliptic theory on manifolds with nonisolated singularities : III. The spectral flow of families of conormal symbols." Universität Potsdam, 2002. http://opus.kobv.de/ubp/volltexte/2008/2638/.

Full text

Abstract:

When studyind elliptic operators on manifolds with nonisolated singularities one naturally encounters families of conormal symbols (i.e. operators elliptic with parameter p ∈ IR in the sense of Agranovich-Vishik) parametrized by the set of singular points. For homotopies of such families we define the notion of spectral flow, which in this case is an element of the K-group of the parameter space. We prove that the spectral flow is equal to the index of some family of operators on the infinite cone.

APA, Harvard, Vancouver, ISO, and other styles

40

Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Elliptic theory on manifolds with nonisolated singularities : I. The index of families of cone-degenerate operators." Universität Potsdam, 2002. http://opus.kobv.de/ubp/volltexte/2008/2632/.

Full text

Abstract:

We study the index problem for families of elliptic operators on manifolds with conical singularities. The relative index theorem concerning changes of the weight line is obtained. AN index theorem for families whose conormal symbols satisfy some symmetry conditions is derived.

APA, Harvard, Vancouver, ISO, and other styles

41

Nazaikinskii, Vladimir, Anton Savin, Bert-Wolfgang Schulze, and Boris Sternin. "Differential operators on manifolds with singularities : analysis and topology : Chapter 1: Localization (surgery) in elliptic theory." Universität Potsdam, 2003. http://opus.kobv.de/ubp/volltexte/2008/2654/.

Full text

Abstract:

Contents: Chapter 1: Localization (Surgery) in Elliptic Theory 1.1. The Index Locality Principle 1.1.1. What is locality? 1.1.2. A pilot example 1.1.3. Collar spaces 1.1.4. Elliptic operators 1.1.5. Surgery and the relative index theorem 1.2. Surgery in Index Theory on Smooth Manifolds 1.2.1. The Booß–Wojciechowski theorem 1.2.2. The Gromov–Lawson theorem 1.3. Surgery for Boundary Value Problems 1.3.1. Notation 1.3.2. General boundary value problems 1.3.3. A model boundary value problem on a cylinder 1.3.4. The Agranovich–Dynin theorem 1.3.5. The Agranovich theorem 1.3.6. Bojarski’s theorem and its generalizations 1.4. (Micro)localization in Lefschetz theory 1.4.1. The Lefschetz number 1.4.2. Localization and the contributions of singular points 1.4.3. The semiclassical method and microlocalization 1.4.4. The classical Atiyah–Bott–Lefschetz theorem

APA, Harvard, Vancouver, ISO, and other styles

42

Kokarev, Gerasim Y. "Elements of qualitative theory of quasilinear elliptic partial differential equations for mappings valued in compact manifolds." Thesis, Heriot-Watt University, 2003. http://hdl.handle.net/10399/284.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Nguyen, Thi Thu Huong [Verfasser], Ingo [Akademischer Betreuer] Witt, and Dorothea [Akademischer Betreuer] Bahns. "Existence of solutions of quasilinear elliptic equations on manifolds with conic points / Thi Thu Huong Nguyen. Gutachter: Ingo Witt ; Dorothea Bahns. Betreuer: Ingo Witt." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2014. http://d-nb.info/1051132770/34.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Fischer, Emily M. "Infinitely Many Rotationally Symmetric Solutions to a Class of Semilinear Laplace-Beltrami Equations on the Unit Sphere." Scholarship @ Claremont, 2014. http://scholarship.claremont.edu/hmc_theses/62.

Full text

Abstract:

I show that a class of semilinear Laplace-Beltrami equations has infinitely many solutions on the unit sphere which are symmetric with respect to rotations around some axis. This equation corresponds to a singular ordinary differential equation, which we solve using energy analysis. We obtain a Pohozaev-type identity to prove that the energy is continuously increasing with the initial condition and then use phase plane analysis to prove the existence of infinitely many solutions.

APA, Harvard, Vancouver, ISO, and other styles

45

Pereira, Fabiano. "O problema de Dirichlet assintótico para a equação das superfícies mínimas em uma variedade Cartan-Hadamard rotacionalmente simétrica." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2015. http://hdl.handle.net/10183/118670.

Full text

Abstract:

Neste trabalho estudamos o problema de Dirichlet assintótico para a equação das superfícies mínimas em uma superfície de Cartan-Hadamard rotacionalmente simétrica e mostramos que o problema e unicamente solúvel para qualquer dado contínuo em seu bordo assintótico.
In this work we study the asymptotic Dirichlet problem for the minimal surface equation on rotationally symmetric Cartan-Hadamard surfaces. We prove that the problem is uniquely solvave for any continuous asymptotic boundary data.

APA, Harvard, Vancouver, ISO, and other styles

46

Telichevesky, Miriam. "Regularidade no infinito de variedades de Hadamard e alguns problemas de Dirichlet assintóticos." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2012. http://hdl.handle.net/10183/55329.

Full text

Abstract:

Sejam M uma variedade de Hadamard com curvatura seccional KM ≤ −k2 < 0 e ∂ M sua fronteira assintótica. Dizemos que M satisfaz a condição de convexidade estrita se, dados x ∈ ∂∞M e W ⊂ ∂∞M aberto relativo contendo x, existe um aberto Ω ⊂ M de classe C2 tais que x ∈ Int (∂ Ω) ⊂ W e M \ Ω ´e convexo. Provamos que a condição de convexidade estrita implica que M éregular no infinito com relação ao operador Q[u] := div a(|∇u|) \ |∇u| ∇u definido no espa¸co de Sobolev W 1,p(M ), onde a ∈ C1([0, +∞)) satisfaz a(0) = 0, at(s) > 0 para todo s > 0, a(s) ≤ C (sp−1 + 1), ∀s ≥ 0, onde C > 0 é uma constante, e a(s) ≥ sq para algum q > 0 e para s ≈ 0 e supomos que é possível resolver problemas de Dirichlet em bolas (compactas) de M com dados contínuos no bordo. Segue disto que sob a condição de convexidade estrita, os problemas de Dirichlet para equação de hipersuperfície mínima e para o p-laplaciano, p > 1, são solúveis para qualquer dado contínuo prescrito no bordo assintótico. Também provamos que se M é rotacionalmente simétrica ou se inf BR+1 KM ≥ −e 2kR /R2+2 , R ≥ R∗, para certos R∗ e E > 0, então M satisfaz a condição de convexidade estrita.
Let M be Hadamard manifold with sectional curvature KM ≤ −k2, k > 0 and ∂∞M its asymptotic boundary. We say that M satisfies the strict convexity condition if, given x ∈ ∂∞M and a relatively open subset W ⊂ 2 ∂∞M containing x, there exists a C open subset Ω ⊂ M such that x ∈ Int (∂∞Ω) ⊂ W and M \ Ω is convex. We prove that the strict convexity condition implies that M is regular at infinity relative to the operator Q [u] := div a(|∇u|) \ |∇u| ∇u , defined on the Sobolev space W 1,p(M ), where a ∈ C 1 ([0, ∞)) satisfies a(0) = 0, at(s) > 0 for all s > 0, a(s) ≤ C (s p−1 + 1), ∀s ≥ 0, where C > 0 is a constant, and a(s) ≥ sq , for some q > 0 and for s ≈ 0 and we suppose that it is possible to solve Dirichlet problems on (compact) balls of M with continuous boundary data. It follows that under the strict convexity condition, the Dirichlet problems for the minimal hypersurface and the p-Laplacian, p > 1, equations are solvable for any prescribed continuous asymptotic boundary data. We also prove that if M is rotationally symmetric or if inf BR+1 KM ≥ −e2kR/R2+2 , R ≥ R∗, for some R∗ and E > 0, then M satisfies the SC condition.

APA, Harvard, Vancouver, ISO, and other styles

47

CARAFFA, BERNARD Daniela. "Equations aux dérivées partielles elliptiques du quatrième ordre avec exposants critiques de Sobolev sur les variétés riemanniennes avec et sans bord." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2003. http://tel.archives-ouvertes.fr/tel-00003179.

Full text

Abstract:

L'objet de cette thèse est l'étude, sur les variétés riemanniennes compactes $(V_n,g)$ de dimension $n>4$, de l'équation aux dérivées partielles elliptique de quatrième ordre $$(E)\; \Delta^2u+\nabla [a(x)\nabla u] +h(x)u= f(x)|u|^(N-2)u$$ où $a$, $h$, $f$ sont fonction $C^\infty $, avec $f(x)$ fonction constante ou partout positive et $N=(2n\over((n-4)))$ est l'exposant critique. En utilisant la méthode variationnelle on prouve dans le théorème principal que l'équation $(E)$ admet une solution $C^((5,\alpha))(V)$ $0<\alpha<1$ non nulle si une certaine condition qui dépend de la meilleure constante dans les inclusion de Sobolev ($H_2\subset L_(2n\over(n-4))$) est satisfaite. De plus on montre que si $a$ et $h$ sont des fonctions constantes bien précisées la solution de l'équation est positive et $C^\infty(V)$. Lorsque $n\geq 6$, on donne aussi des applications du théorème principal. Dans la dernière partie de cette thèse sur une variété riemannienne compacte à bord de dimension $n$, $(\overline(W)_n,g )$ nous nous intéressons au problème : $$ (P_N) \; \left\lbrace \begin(array)(c) \Delta^2 v+\nabla [a(x)\nabla u] +h(x) v= f(x)|v |^(N-2)v \; \hbox(sur)\; W \\ \Delta v =\delta \, , \, v = \eta \;\hbox(sur) \;\partial W \end(array)\right.$$ avec $\delta$,$\eta$,$f$ fonctions $C^\infty (\overline (W))$ avec $f(x)$ fonction partout positive et on démontre l'existence d'une solution non triviale pour le problème $(P_N)$.

APA, Harvard, Vancouver, ISO, and other styles

48

Pereira, Rosane Gomes. "Desigualdades universais para autovalores do polidrifting laplaciano em dominios compactos do R^n e S^n." Universidade Federal de Goiás, 2016. http://repositorio.bc.ufg.br/tede/handle/tede/5542.

Full text

Abstract:

Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2016-05-05T20:05:47Z No. of bitstreams: 2 Tese - Rosane Gomes Pereira - 2016.pdf: 1460804 bytes, checksum: bde81076cac51b848a33cb0c0f768798 (MD5) license_rdf: 19874 bytes, checksum: 38cb62ef53e6f513db2fb7e337df6485 (MD5)
Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2016-05-06T11:39:46Z (GMT) No. of bitstreams: 2 Tese - Rosane Gomes Pereira - 2016.pdf: 1460804 bytes, checksum: bde81076cac51b848a33cb0c0f768798 (MD5) license_rdf: 19874 bytes, checksum: 38cb62ef53e6f513db2fb7e337df6485 (MD5)
Made available in DSpace on 2016-05-06T11:39:46Z (GMT). No. of bitstreams: 2 Tese - Rosane Gomes Pereira - 2016.pdf: 1460804 bytes, checksum: bde81076cac51b848a33cb0c0f768798 (MD5) license_rdf: 19874 bytes, checksum: 38cb62ef53e6f513db2fb7e337df6485 (MD5) Previous issue date: 2016-03-08
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
In this work, we study eigenvalues of poly-drifting laplacian on compact Riemannian manifolds with boundary (possibly empty). Here, we bring a universal inequality for the eigenvalues of the poly-drifting operator on compact domains in an Euclidean spaceRn. Besides,weintroduce universal inequalities for eigenvalues of poly-drifting operator on compact domains in a unit n-sphere Sn. We give an universal inequality for lower order eigenvalues of the poly-drifting operator inRn and Sn. Moreover, we prove an universal inequality type Ashbaugh and Benguria for the drifting Laplacian on Riemannian manifold immersed in an unit sphere or a projective space. Let be a bounded domain in a n-dimensional Euclidean space Rn. We study eigenvalues of an eigenvalue problem of a system of elliptic equations of the drifting laplacian 8>><>>: L u+ (r(divu)􀀀r divu) = 􀀀¯ u; in ; uj@ = 0 Estimates for eigenvalues of the above eigenvalue problem are obtained. Furthermore, a universal inequality for lower order eigenvalues of the problem is also derived.
Neste trabalho, estudamos autovalores do polidrifting Laplaciano em variedades Riemannianas compactas com fronteira (possivelmente vazia). Aqui, trazemos uma desigualdade universal para autovalores do polidrifting operador em domínios compactos no espaço Euclidiano Rn. Além disso, introduzimos desigualdades universais para autovalores do polidrifting operador em domínios compactos na n-esfera unitária Sn. Fornecemos uma estimativa para autovalores de ordem inferior do polidrifting operador emRn e Sn. Mais ainda, provamos uma desigualdade universal do tipo Ashbaugh-Benguria para o drifting Laplacianoem variedades Riemannianas imersas em uma esfera unitária ou no espaço projetivo. Seja um domínio limitado no n-dimensional espaço Euclidiano Rn. Estudamos autovalores de um problema de autovalores de um sistema de equações elípticas do drifting Laplaciano 8>><>>: L u+ (r(divu)􀀀r divu) = 􀀀¯ u; in ; uj@ = 0 Estimativas para autovalores do problema de autovalores acima são obtidas. Além disso, uma desigualdade universal de ordem inferior também é encontrada.

APA, Harvard, Vancouver, ISO, and other styles

49

Montcouquiol, Grégoire. "Déformations de métriques Einstein sur des variétés à singularités coniques." Toulouse 3, 2005. http://www.theses.fr/2005TOU30205.

Full text

Abstract:

Partant d'une cône-variété hyperbolique compacte de dimension n>2, on étudie les déformations de la métrique dans le but d'obtenir des cônes-variétés Einstein. Dans le cas où le lieu singulier est une sous-variété fermée de codimension 2 et que tous les angles coniques sont plus petits que 2pi, on montre qu'il n'existe pas de déformations Einstein infinitésimales non triviales préservant les angles coniques. Ce résultat peut s'interpréter comme une généralisation en dimension supérieure du célèbre théorème de Hodgson et Kerckhoff sur les déformations des cônes-variétés hyperboliques de dimension 3. Si tous les angles coniques sont inférieurs à pi, on donne ensuite une construction qui à chaque variation donnée des angles associe une déformation Einstein infinitésimale correspondante
Starting with a compact hyperbolic cone-manifold of dimension n>2, we study the deformations of the metric in order to get Einstein cone-manifolds. If the singular locus is a closed codimension 2 submanifold and all cone angles are smaller than 2pi, we show that there is no non-trivial infinitesimal Einstein deformations preserving the cone angles. This result can be interpreted as a higher-dimensional case of the celebrated Hodgson and Kerckhoff's theorem on deformations of hyperbolic 3-cone-manifolds. If all cone angles are smaller than pi, we also give a construction which associates to any variation of the angles a corresponding infinitesimal Einstein deformation

APA, Harvard, Vancouver, ISO, and other styles

50

Thizy, Pierre-Damien. "Effets non-locaux pour des systèmes elliptiques critiques." Thesis, Cergy-Pontoise, 2016. http://www.theses.fr/2016CERG0817.

Full text

Abstract:

Les travaux de cette thèse sont regroupés en trois grandes parties traitant respectivement-des ondes stationnaires des systèmes de Schr"odinger-Maxwell-Proca et de Klein-Gordon-Maxwell-Proca sur une variété riemannienne fermée (compacte sans bord dans toute la thèse),-de systèmes elliptiques de Kirchhoff sur une variété riemannienne fermée,-de phénomènes d'explosion propres aux petites dimensions
This thesis, divided into three main parts, deals with-standing waves for Schrödinger-Maxwell-Proca and Klein-Gordon-Maxwell-Proca systems on a closed Riemannian manifold (compact without boundary during all the thesis),-elliptic Kirchhoff systems on a closed manifold,-low-dimensional blow-up phenomena

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!