Calculus of Variations and Nonlinear Partial Differential Equations With a historical overview by Elvira Mascolo /

• Main Authors: Ambrosio, Luigi (Author), Caffarelli, Luis (Author), Crandall, Michael G. (Author), Evans, Lawrence C. (Author), Fusco, Nicola (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Dacorogna, Bernard (Editor), Marcellini, Paolo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1927
• Subjects: Mathematics.; Partial differential equations.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Partial Differential Equations.

This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro (Italy) in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential...

Table of Contents:

• Transport Equation and Cauchy Problem for Non-Smooth Vector Fields
• Issues in Homogenization for Problems with Non Divergence Structure
• A Visit with the ?-Laplace Equation
• Weak KAM Theory and Partial Differential Equations
• Geometrical Aspects of Symmetrization
• CIME Courses on Partial Differential Equations and Calculus of Variations.