Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth

Abstract

We study partial C1,α–regularity of minimizers of quasi-convex variational integrals with non-standard growth. We assume in particular that the relevant integrands satisfy an Orlicz’s type growth condition, i.e. a so-called general growth condition. Moreover, the functionals are supposed to be non-autonomous and possibly degenerate.