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) = _ A (x, u, Du) \, dx where the integrand A (x, u, Du) is not necessarily continuous respect to the variable x, grows polinomially like ||ᵖ, p 2.