02807nam a2200457 i 4500991003324999707536170207s2014 sz a b 000 0 eng d9783319009414b14316183-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng515.35323AMS 35-06AMS 32-06AMS 53-06AMS 78-06LC QA3.L28C.I.M.E. Summer School<2012 ;Cetraro, Italy>718980Fully nonlinear PDEs in real and complex geometry and optics :Cetraro, Italy 2012 /Luca Capogna ... [et al.] ; editors: Cristian E. Gutiérrez, Ermanno LanconelliCham [Switzerland] :Springer,2014xi, 210 p. :ill. (some color) ;24 cmtextrdacontentunmediatedrdamediavolumerdacarrierLecture notes in mathematics,0075-8434 ;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. Guteirrez, and On the Levi Monge Ampère equation by Annamaria MontanariDifferential equations, PartialCongressesDifferential equations, NonlinearCongressesTeichmüller spacesCongressesConformal mappingCongressesMonge-Ampère equationsCongressesCapogna, Lucaauthorhttp://id.loc.gov/vocabulary/relators/aut66097Gutiérrez, Cristian E.Lanconelli, Ermanno.b1431618307-02-1707-02-17991003324999707536LE013 35-XX CAP11 (2014)12013000293998le013pE34.99-l- 01010.i1579590107-02-17Fully nonlinear PDEs in real and complex geometry and optics1465389UNISALENTOle01307-02-17ma -engsz 00