Fully nonlinear PDEs in real and complex geometry and optics : Cetraro, Italy 2012
Author(s)
Bibliographic Information
Fully nonlinear PDEs in real and complex geometry and optics : Cetraro, Italy 2012
（Lecture notes in mathematics, 2087 . CIME foundation subseries）
Springer, c2014
Available at / 43 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2087200026148183
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
Italy/2012-F/Proc.2080343564
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Note
Other authors: Pengfei Guan, Cristian E. Gutiérrez, Annamaria Montanari
Includes bibliographical references
Description and Table of Contents
Description
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. Gutierrez, and On the Levi Monge Ampere equation by Annamaria Montanari.
Table of Contents
Introduction.- L extremal mappings in AMLE and Teichmuller theory.- Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear Pde's.- Refraction Problems In Geometric Optics.- On the Levi Monge-Ampere equation.
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