Geometric analysis : partial differential equations and surfaces : UIMP-RSME Santaló Summer School 2010 : Geometric analysis, June 28-July 2, 2010, University of Granada, Spain /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: UIMP-RSME Santaló Summer School University of Granada
Otros Autores: Pérez, Joaquín, 1966-, Galvez, José A., 1972-
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2012.
Colección:Contemporary mathematics (American Mathematical Society) ; v. 570.
Temas:
Minimal surfaces > Congresses.
Geometry, Differential > Congresses.
Differential equations, Partial > Asymptotic theory > Congresses.
Surfaces minimales > Congrès.
Géométrie différentielle > Congrès.
Équations aux dérivées partielles > Théorie asymptotique > Congrès.
Differential equations, Partial > Asymptotic theory
Geometry, Differential
Minimal surfaces
Differential geometry > Classical differential geometry > Minimal surfaces, surfaces with prescribed mean curvature.
Partial differential equations > Qualitative properties of solutions > Critical exponents.
Partial differential equations > Qualitative properties of solutions > Asymptotic behavior of solutions.
Partial differential equations > Elliptic equations and systems > Variational methods for second-order elliptic equations.
Partial differential equations > Elliptic equations and systems > Boundary value problems for second-order elliptic equations.
Partial differential equations > Elliptic equations and systems > Elliptic Monge-Ampère equations.
Partial differential equations > Elliptic equations and systems > Nonlinear elliptic equations.
Calculus of variations and optimal control; optimization > Manifolds > Minimal surfaces.
Differential geometry > Global differential geometry > Immersions (minimal, prescribed curvature, tight, etc.)
Differential geometry > Global differential geometry > Global surface theory (convex surfaces á la A.D. Aleksandrov)
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Preface""; ""Geometric PDEs in the presence of isolated singularities""; ""1. Introduction""; ""2. The Hessian one equation: preliminaries""; ""3. Isolated singularities of â??â?? _{ }- _{ }²=1: local study""; ""4. Isolated singularities of â??â?? _{ }- _{ }²=1: global study""; ""5. Surfaces of constant curvature in â??³""; ""6. Isolated singularities of the constant curvature equation""; ""7. Immersed isolated singularities""; ""8. Peaked spheres in â??³""; ""9. Further results and open problems""; ""References""
  • ""Constant mean curvature surfaces in metric Lie groups""""1. Introduction""; ""2. Lie groups and homogeneous three-manifolds""; ""3. Surface theory in three-dimensional metric Lie groups""; ""4. Open problems and unsolved conjectures for -surfaces in three-dimensional metric Lie groups""; ""References""; ""Stochastic methods for minimal surfaces""; ""1. Introduction""; ""2. Basic notions""; ""3. Parabolicity and area growth""; ""4. Coupling""; ""References""; ""The role of minimal surfaces in the study of the Allen-Cahn equation""; ""1. The role of minimal hypersurfaces""
  • ""2. Entire solutions of the Allen-Cahn equation in Euclidean space""""3. Proof of Theorem 1.1""; ""References""; ""On curvature estimates for constant mean curvature surfaces""; ""Introduction""; ""1. Bounding ""; ""2. Schoen Curvature Estimate""; ""3. Choi-Schoen Curvature Estimate""; ""4. Colding-Minicozzi One-Sided Curvature Estimate""; ""5. Curvature Estimate For CMC Disks""; ""References""

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