Interior [formula omitted]-regularity for vector-valued minimizers of quasilinear functionals

Abstract

We consider weak minimizers of variational integrals whose integrands are quasilinear. Under suitable conditions on the integrand, we obtain results on interior everywhere Hőlder regularity for the weak minimizers. More precise results on the partial regularity can be deduced from our main result too. Some illustrating examples are given at the end of the paper.