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.
• Physical Description: XI, 206 p. online resource.
• ISBN: 9783540759140
• ISSN: 0075-8434 ;

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 equations. The topics discussed are transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, weak KAM theory and geometrical aspects of symmetrization. A historical overview of all CIME courses on the calculus of variations and partial differential equations is contributed by Elvira Mascolo.