Inserted: Feb. 22, 2012
Last Updated: March 7, 2012
Journal: J. Differ. Equations
Links: Link to the published version
We consider weak solutions $u$ of non-linear systems of partial differential equations. Assuming that the system exhibits a certain kind of elliptic behavior near infinity we prove higher integrability results for the gradient $Du$. In particular, we establish Hölder continuity of $u$ in low dimensions. Moreover, we obtain analogous results for vectorial minimizers of multi-dimensional variational integrals. Finally, we discuss an extension to minimizing sequences and applications to generalized minimizers.