Preface

This special issue of Discrete and Continuous Dynamical Systems Series B serves as proceedings of a conference on the calculus of variations and partial differential equations organized in Cortona in May 2007. The organizers were B. Dacorogna (Ecole Polytechnique Fedérale of Lausanne), E. Mascolo (University of Florence) and C. Sbordone (University of Naples) and it was supported by INdAM, Istituto Nazionale di Alta Matematica Francesco Severi.
This conference was the occasion of a special tribute to Paolo Marcellini for his sixtieth birthday.
The themes discussed in the conference were: existence, regularity and comparison for minimizers of the calculus of variations and for solutions of nonlinear elliptic equations and systems, study of nonlinear parabolic equations and systems, applications of variational methods to Euler equation, existence and selection principles for implicit equations, isoperimetric inequalities, applications of partial differential equations to nonlinear elasticity. Let us now see in more details all the contributions.

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