Hölder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands

[摘要] 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.

[学科分类] 应用数学