Relevant bibliographies by topics / Willmore functional

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Willmore functional'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Willmore functional"

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Lamm, Tobias, Jan Metzger, and Andre Neves. "Mini-Workshop: The Willmore Functional and the Willmore Conjecture." Oberwolfach Reports 10, no. 3 (2013): 2119–53. http://dx.doi.org/10.4171/owr/2013/37.

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Zhu, Yanqi, Jin Liu, and Guohua Wu. "Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere." Scientific World Journal 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/697132.

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For ann-dimensional hypersurface in unit sphere, we introduce an abstract Willmore type calledWn,F-Willmore functional, which generalizes the well-known classic Willmore functional. Its critical point is called theWn,F-Willmore hypersurface, for which the variational equation and Simons’ type integral equalities are obtained. Moreover, we construct a few examples ofWn,F-Willmore hypersurface and give a gap phenomenon characterization by use of our integral formula.
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Bernard, Yann. "Noether’s theorem and the Willmore functional." Advances in Calculus of Variations 9, no. 3 (2016): 217–34. http://dx.doi.org/10.1515/acv-2014-0033.

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AbstractNoether’s theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results independently obtained by R. Capovilla and J. Guven, and by T. Rivière. Several examples are considered in detail.
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Chen, Jing-yi. "The Willmore functional of surfaces." Applied Mathematics-A Journal of Chinese Universities 28, no. 4 (2013): 485–93. http://dx.doi.org/10.1007/s11766-013-3222-7.

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Kuwert, Ernst, and Reiner Schätzle. "Gradient flow for the Willmore functional." Communications in Analysis and Geometry 10, no. 2 (2002): 307–39. http://dx.doi.org/10.4310/cag.2002.v10.n2.a4.

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WANG, PENG. "ON THE WILLMORE FUNCTIONAL OF 2-TORI IN SOME PRODUCT RIEMANNIAN MANIFOLDS." Glasgow Mathematical Journal 54, no. 3 (2012): 517–28. http://dx.doi.org/10.1017/s0017089512000122.

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AbstractWe discuss the minimum of Willmore functional of torus in a Riemannian manifold N, especially for the case that N is a product manifold. We show that when N = S2 × S1, the minimum of W(T2) is 0, and when N = R2 × S1, there exists no torus having least Willmore functional. When N = H2(−c) × S1, and x = γ × S1, the minimum of W(x) is $2\pi^2\sqrt{c}$.
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Simon, Leon. "Existence of surfaces minimizing the Willmore functional." Communications in Analysis and Geometry 1, no. 2 (1993): 281–326. http://dx.doi.org/10.4310/cag.1993.v1.n2.a4.

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Mondino, Andrea. "The Conformal Willmore Functional: A Perturbative Approach." Journal of Geometric Analysis 23, no. 2 (2011): 764–811. http://dx.doi.org/10.1007/s12220-011-9263-3.

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Burger, Martin, Shun-Yin Chu, Peter Markowich, and Carola-Bibiane Schönlieb. "Cahn-Hilliard inpainting and the Willmore functional." PAMM 7, no. 1 (2007): 1011209–10. http://dx.doi.org/10.1002/pamm.200700802.

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Luo, Yong, and Guofang Wang. "On geometrically constrained variational problems of the Willmore functional I: The Lagrangian-Willmore problem." Communications in Analysis and Geometry 23, no. 1 (2015): 191–223. http://dx.doi.org/10.4310/cag.2015.v23.n1.a6.

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Dissertations / Theses on the topic "Willmore functional"

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Mondino, Andrea. "The Willmore functional and other L^p curvature functionals in Riemannian manifolds." Doctoral thesis, SISSA, 2011. http://hdl.handle.net/20.500.11767/4840.

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Using techniques both of non linear analysis and geometric measure theory, we prove existence of minimizers and more generally of critical points for the Willmore functional and other $L^p$ curvature functionals for immersions in Riemannian manifolds. More precisely, given a $3$-dimensional Riemannian manifold $(M,g)$ and an immersion of a sphere $f:\Sp^2 \hookrightarrow (M,g)$ we study the following problems. 1) The Conformal Willmore functional in a perturbative setting: consider $(M,g)=(\Rtre,\eu+\epsilon h)$ the euclidean $3$-space endowed with a perturbed metric ($h=h_{\mu\nu}$ is a s
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Nardi, Giacomo. "On a characterization of the relaxation of a generalized Willmore functional." Paris 6, 2011. http://www.theses.fr/2011PA066539.

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Dans cette thèse on étudie la relaxée d'une fonctionnelle dépendant de la courbure moyenne des ensembles de niveau de la fonction. La relaxation est définie par rapport à la topologie forte de L^1 dans l'espace BV. En dimension deux, on peut exprimer la relaxée comme l'intégrale sur l'ensemble des niveaux de la fonction étudiée d'une énergie calculée sur un recouvrement des frontières essentielles d'ensembles de niveau par une famille limite de courbes. En dimension supérieure, on propose une nouvelle formulation pour le problème en définissant des varifolds associés aux mesures de Young-gradi
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Link, Florian [Verfasser], and Ernst [Akademischer Betreuer] Kuwert. "Gradient flow for the Willmore Functional in Riemannian manifolds of bounded geometry = Gradientenfluss für das Willmore Funktional in Riemannschen Mannigfaltigkeiten beschränkter Geometrie." Freiburg : Universität, 2013. http://d-nb.info/1123479488/34.

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Rizzi, Matteo. "Qualitative properties and construction of solutions to some semilinear elliptic PDEs." Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4914.

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This thesis is devoted to the study of elliptic equations. On the one hand, we study some qualitative properties, such as symmetry of solutions, on the other hand we explicitly construct some solutions vanishing near some fixed manifold. The main techniques are the moving planes method, in order to investigate the qualitative properties and the Lyapunov-Schmidt reduction.
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Dalphin, Jérémy. "Étude de fonctionnelles géométriques dépendant de la courbure par des méthodes d'optimisation de formes. Applications aux fonctionnelles de Willmore et Canham-Helfrich." Thesis, Université de Lorraine, 2014. http://www.theses.fr/2014LORR0167/document.

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En biologie, lorsqu'une quantité importante de phospholipides est insérée dans un milieu aqueux, ceux-Ci s'assemblent alors par paires pour former une bicouche, plus communément appelée vésicule. En 1973, Helfrich a proposé un modèle simple pour décrire la forme prise par une vésicule. Imposant la surface de la bicouche et le volume de fluide qu'elle contient, leur forme minimise une énergie élastique faisant intervenir des quantités géométriques comme la courbure, ainsi qu'une courbure spontanée mesurant l'asymétrie entre les deux couches. Les globules rouges sont des exemples de vésicules su
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Ting-Jung, Kuo. "The Willmore Functional." 2006. http://www.cetd.com.tw/ec/thesisdetail.aspx?etdun=U0016-0109200613403223.

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Kuo, Ting-Jung, and 郭庭榕. "The Willmore Functional." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/67660891200311540937.

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碩士<br>國立清華大學<br>數學系<br>94<br>In this thesis, we consider the Willmore functional both on surfaces and general Riemannian manifolds. In surfaces case, we study some basic properties of Willmore functional, for example, the relation between conformal area, and the first eigenvalue..., ect. In general case, we calculate the Euler-Lagrange Equation for Willmore functional.
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"On the existence of minimizers for the Willmore function." 1998. http://library.cuhk.edu.hk/record=b5889661.

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by Lo Yiu Ming.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1998.<br>Includes bibliographical references (leaves 89-90).<br>Abstract also in Chinese.<br>Abstract --- p.iii<br>Acknowledgements --- p.iv<br>Chapter Chapter 1. --- Introduction --- p.1<br>Chapter 1.1. --- Main Idea --- p.5<br>Chapter 1.2. --- Organization --- p.8<br>Chapter Chapter 2. --- Geometric and Analytic Preliminaries --- p.9<br>Chapter 2.1. --- A Review on Measure Theory --- p.9<br>Chapter 2.2. --- Submanifolds in Rn --- p.11<br>Chapter 2.3. --- Several Results from PDEs --- p.17<br>Chapter 2.4. --- Bihar
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Book chapters on the topic "Willmore functional"

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Kuwert, Ernst, and Reiner Schätzle. "The Willmore functional." In Topics in Modern Regularity Theory. Edizioni della Normale, 2012. http://dx.doi.org/10.1007/978-88-7642-427-4_1.

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Hayes, Niall, and Mike Chiasson. "A Research Agenda for Identity Work and E-Collaboration." In E-Collaboration. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-60566-652-5.ch092.

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Many recent management programmes have sought to establish organisation-wide collaborations that connect people in different functional and occupation groups (Blackler, Crump, &amp; McDonald, 2000). Typically, these programmes are made possible through the deployment and use of e-collaboration technologies such as groupware, workflow systems, intranets, extranets, and the internet (Ciborra, 1996; Hayes, 2001). Examples of these technologies include the use of shared folders for reports, coauthored documents, completed electronic forms, and discussion forums. Through the use of such technologies, work and views are made accessible to staff working within and between functional and occupational groups. Such management programmes are reported to have brought about significant changes in the nature of work within and between intra organizational boundaries, including the erosion of functional and community boundaries (Blackler et al., 2000; Easterby-Smith, Crossan, &amp; Nicolini, 2000; Knights &amp; Willmott, 1999).
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Conference papers on the topic "Willmore functional"

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BARROS, MANUEL. "CRITICAL POINTS OF WILLMORE-CHEN TENSION FUNCTIONALS." In Proceedings of the International Conference held to honour the 60th Birthday of A M Naveira. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777751_0006.

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