Existence and regularity results for weak solutions to $(p,q)$-elliptic systems in divergence form

Abstract

We prove existence and regularity results for weak solutions of non linear elliptic systems with non variational structure satisfying $(p,q)$-growth conditions. In particular we are able to prove higher differentiability results under a dimension-free gap between $p$ and $q$.

References in corpus (1)

• Regularity of minimizers of autonomous convex variational integrals