TY - BOOK AU - Capogna,Luca AU - Guan,Pengfei AU - Gutiérrez,Cristian E. AU - Montanari,Annamaria ED - SpringerLink (Online service) TI - Fully Nonlinear PDEs in Real and Complex Geometry and Optics: Cetraro, Italy 2012, Editors: Cristian E. Gutiérrez, Ermanno Lanconelli T2 - Lecture Notes in Mathematics, SN - 9783319009421 AV - QA370-380 U1 - 515.353 23 PY - 2014/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Mathematics KW - Differential equations, partial KW - Partial Differential Equations KW - Optics and Electrodynamics N1 - Introduction -- L∞ extremal mappings in AMLE and Teichmüller theory -- Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear Pde’s -- Refraction Problems In Geometric Optics -- On the Levi Monge-Ampère equation N2 - The 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 Montanari UR - http://dx.doi.org/10.1007/978-3-319-00942-1 ER -