BOUNDARY PARTIAL REGULARITY FOR MINIMIZERS OF DISCONTINUOUS QUASICONVEX INTEGRALS WITH GENERAL GROWTH

We prove the partial Holder continuity on boundary points for minimizers of quasiconvex non-degenerate functionals F(u) : = integral(Omega) f (x, u, Du) dx, where f satisfies a uniform VMO condition with respect to the x-variable, is continuous with respect to u and has a general growth with respect to the gradient variable.

Automated summary

This passage discusses the issue of partial Holder continuity for the boundary points of minimizers of quasiconvex non-degenerate functionals.