%0 Journal Article
%T Partial regularity for elliptic systems with VMO-coefficients
%A Taku Kanazawa
%J Mathematics
%D 2013
%I arXiv
%X We establish partial regularity for vector-valued solutions to inhomogeneous elliptic systems in divergence form where the coefficients are possibly discontinuous with respect to $x$. More precisely, we assume a VMO-condition with respect to the $x$ and continuity with respect to $u$ and prove H\"older continuity of the solutions outside of singular sets.
%U http://arxiv.org/abs/1302.4148v2