Fully Nonlinear PDEs in Real and Complex Geometry and Optics - Cetraro, Italy 2012, Editors: Cristian E. Gutiérrez, Ermanno Lanconelli

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.

List 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.

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.

Product details

• Authors: Luc Capogna, Luca Capogna, Pengfe Guan, Pengfei Guan, Cristian Gutierrez, Cristian E Gutiérrez, Cristian E. Gutiérrez, Annamaria Montanari
• Assisted by: E Gutiérrez (Editor), E Gutiérrez (Editor), Ermann Lanconelli (Editor), Ermanno Lanconelli (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.11.2013
• EAN: 9783319009414
• ISBN: 978-3-31-900941-4
• No. of pages: 210
• Dimensions: 154 mm x 15 mm x 236 mm
• Weight: 350 g
• Illustrations: XI, 210 p. 8 illus., 4 illus. in color.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis