Partial regularity for elliptic systems with VMO-coefficients

Abstract

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 Hölder continuity of the solutions outside of singular sets.

16 pages

Cited by in corpus (1)

• Partial regularity for parabolic systems with VMO-coefficients