Fully Nonlinear PDEs in Real and Complex Geometry and Optics : Cetraro, Italy 2012, Editors: Cristian E. Gutiérrez, Ermanno Lanconelli / by Luca Capogna, Pengfei Guan, Cristian E. Gutiérrez, Annamaria Montanari.

Format:

Book

Author/Creator:

Capogna, Luca., Author.

Guan, Pengfei, Author.

Gutiérrez, Cristian E., Author.

Montanari, Annamaria, Author.

Series:

C.I.M.E. Foundation Subseries ; 2087

Language:

English

Subjects (All):

Differential equations, Partial.

Optics.

Electrodynamics.

Partial Differential Equations.

Classical Electrodynamics.

Local Subjects:

Partial Differential Equations.

Classical Electrodynamics.

Physical Description:

1 online resource (XI, 210 p. 8 illus., 4 illus. in color.)

Edition:

1st ed. 2014.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2014.

Language Note:

English

Summary:

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.

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

ISBN:

3-319-00942-7