03025nmm a2200517 i 4500991003325169707536cr nn 008mpcaa170207s2014 sz | o j |||| 0|eng d9783319009421 (e-book)10.1007/978-3-319-00942-1doib14316195-39ule_inst515.35323AMS 35-06AMS 32-06AMS 53-06AMS 78-06C.I.M.E. Summer School<2012 ;Cetraro, Italy>718980Fully Nonlinear PDEs in Real and Complex Geometry and Optics[e-book] :Cetraro, Italy 2012 /Luca Capogna ... [et al.] ; editors: Cristian E. Gutiérrez, Ermanno LanconelliCham :Springer Intern. Publ.,20141 online resource (xi, 210 p. 8 ilL., 4 ill. in color)texttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture Notes in Mathematics,1617-9692 ;2087Includes bibliographical referencesL[infinity symbol] extremal mappings in AMLE and Teichmüller theory / Luca Capogna. Curvature measures, isoperimetric type inequalities and fully nonlinear PDEs / Pengfei Guan. Refraction problems in geometric optics / Cristian E. Gutierez. On the Levi Monge-Ampère equation / Annamaria MontanariThe purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Conformal Mapping Theory, Differential Geometry, Optics, and Geometric Theory of Several Complex Variables. The school consisted of four courses: Extremal problems for quasiconformal mappings in space by Luca Capogna, Fully nonlinear equations in geometry by Pengfei Guan, Monge-Ampere type equations and geometric optics by Cristian E. Gutiérrez, and On the Levi Monge Ampere equation by Annamaria MontanariDifferential equations, PartialCongressesDifferential equations, NonlinearCongressesTeichmüller spacesCongressesConformal mappingCongressesMonge-Ampère equationsCongressesCapogna, Lucaauthorhttp://id.loc.gov/vocabulary/relators/aut66097Guan, PengfeiGutiérrez, Cristian EMontanari, AnnamariaSpringerLink (Online service)Springer eBooksPrinted edition:9783319009414http://link.springer.com/book/10.1007/978-3-319-00942-1An electronic book accessible through the World Wide Web.b1431619503-03-2207-02-17991003325169707536Fully nonlinear PDEs in real and complex geometry and optics1465389UNISALENTOle01307-02-17m@ -engsz 00