Journal of Applied Mathematics and Stochastic Analysis
Volume 2007 (2007), Article ID 31819, 14 pages
Hölder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands
1Dipartimento di Economia dei Sistemi Agroforestali, Università di Palermo, Viale delle Scienze, Palermo 90128, Italy
2Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, Catania 95125, Italy
Received 30 April 2007; Accepted 22 October 2007
Copyright © 2007 S. Bonafede et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study qualitative properties of minimizers for a class of integral functionals, defined in a weighted space. In particular we obtain Hölder regularity up to the boundary for the minimizers of an integral functional of high order by using an interior local regularity result and a modified Moser method with special test function.