Regularity for minimizers of scalar integral functionals

We prove the local Lipschitz regularity of the local minimizers of scalar integral functionals of the form {equation*} F(v;Ω)= ∫Ω f (x, Dv) dx {equation*} under $(p,q)$-growth conditions. The main novelty is that, beside a suitable regularity assumption on the partial map x↦ f(x,ξ), we do not assume any special structure for the energy density as a function of the ξ-variable.