Holder continuity of solutions for a class of nonlinear elliptic variational inequalities of high order

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

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.