Geometric analysis : partial differential equations and surfaces : UIMP-RSME Santaló Summer School geometric analysis, June 28-July 2, 2010, University of Granada, Granada, Spain / / Joaquín Pérez, José A. Galvez, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2012]; ©2012
• Descrizione fisica: 1 online resource (198 p.)
• Disciplina: 516.3/62
• Soggetto topico: Minimal surfaces; Geometry, Differential; Differential equations, Partial - Asymptotic theory
• Classificazione: 53A1035B3335B4035J2035J2535J9635J6049Q0553C4253C45
• Persona (resp. second.): PérezJoaquín <1966->; GalvezJosé A. <1972->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Preface -- Geometric PDEs in the presence of isolated singularities -- 1. Introduction -- 2. The Hessian one equation: preliminaries -- 3. Isolated singularities of - local study -- 4. Isolated singularities of - 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 -- 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.
• Titolo autorizzato: Geometric analysis
• ISBN: 0-8218-8782-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910821354003321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society). ; 570 . 0271-4132 . 0271-4132