Hölder continuity of bounded, weak solutions of a variational system in the critical case

Nirav Shah

Let $\Omega \subset {\mathbb{R}}^2$ be a bounded, Lipschitz domain. We consider bounded, weak solutions ($u\in W^{1,2}\cap L^{\infty }(\Omega ;{\mathbb{R}}^N)$) of the vector-valued, Euler-Lagran…