Schäffner, Mathias2021-06-162021-06-162021-04-09http://hdl.handle.net/2003/40256http://dx.doi.org/10.17877/DE290R-22129We consider autonomous integral functionals of the form F[u]:=∫Ωf(Du)dx where u:Ω→RN,N≥1, where the convex integrand f satisfies controlled (p, q)-growth conditions. We establish higher gradient integrability and partial regularity for minimizers of F assuming qp<1+2n−1, n≥3. This improves earlier results valid under the more restrictive assumption qp<1+2n.en510Text