Description
Fully Nonlinear PDEs in Real and Complex Geometry and Optics, 2014
Cetraro, Italy 2012, Editors: Cristian E. Gutiérrez, Ermanno Lanconelli
C.I.M.E. Foundation Subseries Series
Authors: Capogna Luca, Guan Pengfei, Gutiérrez Cristian E., Montanari Annamaria
Language: English
Subject for Fully Nonlinear PDEs in Real and Complex Geometry and Optics:
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the book of Capogna Luca, Guan Pengfei, Gutiérrez Cristian E., Montanari Annamaria
210 p. · 15.5x23.5 cm · Paperback
Description
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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.
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.
Includes supplementary material: sn.pub/extras