Fully nonlinear PDEs in real and complex geometry and optics : Cetraro, Italy 2012
著者
書誌事項
Fully nonlinear PDEs in real and complex geometry and optics : Cetraro, Italy 2012
（Lecture notes in mathematics, 2087 . CIME foundation subseries）
Springer, c2014
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注記
Other authors: Pengfei Guan, Cristian E. Gutiérrez, Annamaria Montanari
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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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