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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.
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Frans van Eil
reviewed Calculus of Variations and Nonlinear Partial Differential Equations: Lectures Given at the C. I. M. E. Summer School Held in Cetraro, Italy, June 27-July 2 2005 on February 11, 2013
Calculus of Variations and Nonlinear Partial Differential Equations
I used this for my calculus classes. The author has his own way of going through questions, so it really depends on the teacher which way is acceptable. This was a required text, but for the most part it seemed to be a good teaching. It was nice to get a second opinion on topics and go more in-depth. Probably recommend to those taking a class, because without instruction it's a tougher read.
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