TY - BOOK AU - Ambrosio,Luigi AU - Caffarelli,Luis AU - Crandall,Michael G. AU - Evans,Lawrence C. AU - Fusco,Nicola AU - Dacorogna,Bernard AU - Marcellini,Paolo ED - SpringerLink (Online service) TI - Calculus of Variations and Nonlinear Partial Differential Equations: With a historical overview by Elvira Mascolo T2 - C.I.M.E. Foundation Subseries SN - 9783540759140 AV - QA315-316 U1 - 515.64 23 PY - 2008/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematical optimization KW - Differential equations, partial KW - Calculus of Variations and Optimal Control; Optimization KW - Partial Differential Equations N1 - 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 N2 - 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 UR - https://doi.org/10.1007/978-3-540-75914-0 ER -