Дисертації з теми "Elliptic manifold"
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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/.
Повний текст джерелаNazaikinskii, Vladimir, and Boris Sternin. "On surgery in elliptic theory." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2587/.
Повний текст джерелаNazaikinskii, 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/.
Повний текст джерелаLu, Nan. "Normally elliptic singular perturbation problems: local invariant manifolds and applications." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/41090.
Повний текст джерелаEgorov, 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/.
Повний текст джерелаSchulze, 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/.
Повний текст джерелаNazaikinskii, 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/.
Повний текст джерелаDelengov, Vladimir. "Computing Eigenmodes of Elliptic Operators on Manifolds Using Radial Basis Functions." Scholarship @ Claremont, 2018. https://scholarship.claremont.edu/cgu_etd/113.
Повний текст джерелаGuillermou, Stéphane. "Classe de Lefschetz des paires elliptiques." Paris 6, 1995. http://www.theses.fr/1995PA066339.
Повний текст джерелаLekaus, 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.
Повний текст джерелаWeber, 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.
Повний текст джерелаDoctorat en Sciences
info:eu-repo/semantics/nonPublished
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.
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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.
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/.
Повний текст джерелаNazaikinskii, 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/.
Повний текст джерелаFougeirol, 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.
Повний текст джерелаGeneral 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
Schulze, Bert-Wolfgang. "Elliptic differential operators on manifolds with edges." Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2009/3018/.
Повний текст джерелаKangaslampi, 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.
Повний текст джерелаGrünberg, Daniel Benoni. "Gromow-Witten invariants and elliptic genera." [S.l. : Amsterdam : s.n.] ; Universiteit van Amsterdam [Host], 2004. http://dare.uva.nl/document/74057.
Повний текст джерелаKrainer, Thomas. "Resolvents of elliptic boundary problems on conic manifolds." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2977/.
Повний текст джерелаKrainer, Thomas. "Elliptic boundary problems on manifolds with polycylindrical ends." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2991/.
Повний текст джерелаRamos, 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.
Повний текст джерелаWe 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.
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/.
Повний текст джерелаFedosov, 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/.
Повний текст джерелаSchulze, 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/.
Повний текст джерелаSchulze, 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/.
Повний текст джерелаNazaikinskii, 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/.
Повний текст джерелаNazaikinskii, 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/.
Повний текст джерелаSchulze, 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/.
Повний текст джерелаGuo, 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.
Повний текст джерелаWu, 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.
Повний текст джерелаHuang, 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.
Повний текст джерелаCataloged 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
Gajdzinski, Cezary. "L2-Indices for Perturbed Dirac Operators on Odd Dimensional Open Complete Manifolds." Diss., Virginia Tech, 1994. http://hdl.handle.net/10919/40151.
Повний текст джерелаPh. D.
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/.
Повний текст джерелаMun, 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.
Повний текст джерелаKapanadze, 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/.
Повний текст джерелаGirard, Marie. "Sur les courbes invariantes par un difféomorphisme C1-générique symplectique d’une surface." Thesis, Avignon, 2009. http://www.theses.fr/2009AVIG0406/document.
Повний текст джерелаPoincaré 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
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.
Повний текст джерелаApproved 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.
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/.
Повний текст джерелаNazaikinskii, 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/.
Повний текст джерелаNazaikinskii, 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/.
Повний текст джерелаNazaikinskii, 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/.
Повний текст джерелаKokarev, 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.
Повний текст джерелаNguyen, 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.
Повний текст джерелаFischer, 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.
Повний текст джерелаPereira, 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.
Повний текст джерелаIn 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.
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.
Повний текст джерелаLet 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.
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.
Повний текст джерелаPereira, 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.
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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.
Montcouquiol, Grégoire. "Déformations de métriques Einstein sur des variétés à singularités coniques." Toulouse 3, 2005. http://www.theses.fr/2005TOU30205.
Повний текст джерелаStarting 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
Thizy, Pierre-Damien. "Effets non-locaux pour des systèmes elliptiques critiques." Thesis, Cergy-Pontoise, 2016. http://www.theses.fr/2016CERG0817.
Повний текст джерелаThis 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