Regularity results for vectorial minimizers of a class of degenerate convex integrals

Abstract We establish the higher differentiability and the higher integrability for the gradient of vectorial minimizers of integral functionals with ( p , q ) -growth conditions. We assume that the non-homogeneous densities are uniformly convex and have a radial structure, with respect to the gradient variable, only at infinity. The results are obtained under a possibly discontinuous dependence on the spatial variable of the integrand.