03580nam 2200601 450 991082135400332120220824044453.00-8218-8782-3(CKB)3240000000070093(EBL)3113198(SSID)ssj0000700795(PQKBManifestationID)11403869(PQKBTitleCode)TC0000700795(PQKBWorkID)10670311(PQKB)10101956(MiAaPQ)EBC3113198(RPAM)17190716(PPN)197102131(EXLCZ)99324000000007009320120301h20122012 uy| 0engur|n|---|||||txtccrGeometric 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, editorsProvidence, Rhode Island :American Mathematical Society,[2012]©20121 online resource (198 p.)Contemporary mathematics,5700271-41320271-4132Description based upon print version of record.0-8218-4992-1 Includes bibliographical references.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.Contemporary mathematics (American Mathematical Society).5700271-41320271-4132Minimal surfacesCongressesGeometry, DifferentialCongressesDifferential equations, PartialAsymptotic theoryCongressesMinimal surfacesGeometry, DifferentialDifferential equations, PartialAsymptotic theory516.3/6253A1035B3335B4035J2035J2535J9635J6049Q0553C4253C45mscPérez Joaquín1966-Galvez José A.1972-UIMP-RSME Santalâo Summer SchoolMiAaPQMiAaPQMiAaPQBOOK9910821354003321Geometric analysis376277UNINA