Partial regularity results for non-autonomous functionals with Φ-growth conditions

We prove the partial Holder continuity of the local minimizers of non-autonomous integral functionals of the type integral(Omega) Phi((A(ij)(alpha beta)(x, u)D(i)u(alpha)D(j)u(beta))(1/2))dx, where is an Orlicz function satisfying both the Delta(2) and del(2) conditions and the function is uniformly elliptic, bounded and continuous. Assuming in addition that the function is Holder continuous, we prove the partial Holder continuity also of the gradient of the local minimizers.