Fully Nonlinear PDEs in Real and Complex Geometry and Optics: Cetraro, Italy 2012, Editors: Cristian E. Gutierrez, Ermanno Lanconelli by Luca CapognaFully Nonlinear PDEs in Real and Complex Geometry and Optics: Cetraro, Italy 2012, Editors: Cristian E. Gutierrez, Ermanno Lanconelli by Luca Capogna

Fully Nonlinear PDEs in Real and Complex Geometry and Optics: Cetraro, Italy 2012, Editors…

byLuca Capogna, Pengfei Guan, Cristian E. Gutiérrez

Paperback | October 21, 2013

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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.
Title:Fully Nonlinear PDEs in Real and Complex Geometry and Optics: Cetraro, Italy 2012, Editors…Format:PaperbackDimensions:210 pagesPublished:October 21, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319009419

ISBN - 13:9783319009414

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Table of Contents

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.