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

• Main Authors: Capogna, Luca (Author), Guan, Pengfei (Author), Gutiérrez, Cristian E. (Author), Montanari, Annamaria (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2087
• Subjects: Mathematics.; Partial differential equations.; Optics.; Electrodynamics.; Partial Differential Equations.; Optics and Electrodynamics.

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,...

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.