Higher integrability for variational integrals with non-standard growth

Mathias Schäffner

We consider autonomous integral functionals of the form $\mathcal{F}[u]:={\int }_{\Omega }f(Du)dx$ with $u:\Omega \to {\mathbb{R}}^N$ $N\ge 1$, where the convex integrand $f$ satisfies controlled $(p…