Lipschitz estimates for systems with ellipticity conditions at infinity

In the general vector-valued case N≥ 1 , we prove the Lipschitz continuity of local minimizers to some integrals of the calculus of variations of the form ∫Ωg(x,|Du|)dx, with p, q-growth conditions only for | Du| → + ∞ and without further structure conditions on the integrand g= g(x, | Du|). We apply the regularity results to weak solutions to nonlinear elliptic systems of the form ∑i=1n∂∂xiaiα(x,Du)=0, α= 1 , 2 , … , N