LEADER 03580nam 2200601 450 001 9910821354003321 005 20220824044453.0 010 $a0-8218-8782-3 035 $a(CKB)3240000000070093 035 $a(EBL)3113198 035 $a(SSID)ssj0000700795 035 $a(PQKBManifestationID)11403869 035 $a(PQKBTitleCode)TC0000700795 035 $a(PQKBWorkID)10670311 035 $a(PQKB)10101956 035 $a(MiAaPQ)EBC3113198 035 $a(RPAM)17190716 035 $a(PPN)197102131 035 $a(EXLCZ)993240000000070093 100 $a20120301h20122012 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometric analysis $epartial differential equations and surfaces : UIMP-RSME Santalo? Summer School geometric analysis, June 28-July 2, 2010, University of Granada, Granada, Spain /$fJoaqui?n Pe?rez, Jose? A. Galvez, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2012] 210 4$d©2012 215 $a1 online resource (198 p.) 225 1 $aContemporary mathematics,$v570$x0271-4132$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-4992-1 320 $aIncludes bibliographical references. 327 $aPreface -- Geometric PDEs in the presence of isolated singularities -- 1. Introduction -- 2. The Hessian one equation: preliminaries -- 3. Isolated singularities of - local study -- 4. Isolated singularities of - global study -- 5. Surfaces of constant curvature in a???A?³ -- 6. Isolated singularities of the constant curvature equation -- 7. Immersed isolated singularities -- 8. Peaked spheres -- 9. Further results and open problems -- References -- Constant mean curvature surfaces in metric Lie groups -- 1. Introduction -- 2. Lie groups and homogeneous three-manifolds -- 3. Surface theory in three-dimensional metric Lie groups -- 4. Open problems and unsolved conjectures for -surfaces in three-dimensional metric Lie groups -- References -- Stochastic methods for minimal surfaces -- 1. Introduction -- 2. Basic notions -- 3. Parabolicity and area growth -- 4. Coupling -- References -- The role of minimal surfaces in the study of the Allen-Cahn equation -- 1. The role of minimal hypersurfaces -- 2. Entire solutions of the Allen-Cahn equation in Euclidean space -- 3. Proof of Theorem 1.1 -- References -- On curvature estimates for constant mean curvature surfaces -- Introduction -- 1. Bounding -- 2. Schoen Curvature Estimate -- 3. Choi-Schoen Curvature Estimate -- 4. Colding-Minicozzi One-Sided Curvature Estimate -- 5. Curvature Estimate For CMC Disks -- References. 410 0$aContemporary mathematics (American Mathematical Society).$v570$x0271-4132$x0271-4132 606 $aMinimal surfaces$vCongresses 606 $aGeometry, Differential$vCongresses 606 $aDifferential equations, Partial$xAsymptotic theory$vCongresses 615 0$aMinimal surfaces 615 0$aGeometry, Differential 615 0$aDifferential equations, Partial$xAsymptotic theory 676 $a516.3/62 686 $a53A10$a35B33$a35B40$a35J20$a35J25$a35J96$a35J60$a49Q05$a53C42$a53C45$2msc 702 $aPe?rez$b Joaqui?n$f1966- 702 $aGalvez$b Jose? A.$f1972- 712 12$aUIMP-RSME Santalâo Summer School 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910821354003321 996 $aGeometric analysis$9376277 997 $aUNINA