Regularity of Minimizers of some Variational Integrals with Discontinuity

We prove regularity properties in the vector valued case for minimizers of variational integrals of the form A(u) = ∫_Ω A(x,u,Du)\,dx where the integrand A(x,u,Du) is not necessarily continuous respect to the variable x, grows polinomially like |ξ|^p, p ≥ 2.