Journal of Applied Mathematics and Stochastic Analysis
Volume 2007 (2007), Article ID 31819, 14 pages
doi:10.1155/2007/31819
Abstract
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.