Boundary regularity for elliptic systems with p,q-growth

We investigate the boundary regularity of minimizers of convex integral functionals with nonstandard p, q-growth and with Uhlenbeck structure. We consider arbitrary convex domains Ωand homogeneous Dirichlet data on some part Γ ⊂∂Ωof the boundary. For the integrand we assume only a non-standard p, q-growth condition. We establish Lipschitz regularity of minimizers up to Γ, provided the gap between the growth exponents p and q is not too large, more precisely if 1