Lipschitz regularity for some asymptotically convex problems*
Institute of Mathematics,
Eckerstr. 1, 79104 Freiburg, Germany. firstname.lastname@example.org
2 Dipartimento di Matematica, Università di Napoli, Federico II, Via Cintia, 80126 Napoli, Italy. email@example.com; firstname.lastname@example.org
We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.
Mathematics Subject Classification: 35B65 / 35J70
Key words: Local minimizers / decay estimates / asymptotic behaviour
The work of B.S. was supported by PRIN 2007 Project: “Calcolo delle Variazioni e Teoria Geometrica della Misura”; the work of A.V. was supported in part by Prin 2007 Project “Calcolo delle Variazioni e Teoria Geometrica della Misura” and in part by the European Research Council under FP7 Advanced Grant n◦ 226234: “Analytic Techniques for Geometric and Functional Inequalities”.
© EDP Sciences, SMAI, 2009