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

We prove existence and regularity results for weak solutions of non-linear elliptic systems with non-variational structure satisfying ( p , q ) {(p,q)} -growth conditions. In particular, we are able to prove higher differentiability results under a dimension-free gap between <italic>p</italic> and <italic>q</italic>. [ABSTRACT FROM AUTHOR]