Partial regularity result of elliptic systems with Dini continuous coefficients and $q$-growth

Abstract

We establish partial regularity result for vector-valued solutions to second order elliptic system in divergence form. The coefficients safisfies Dini condition respect to $(x,u)$ with growth order lager than 2. We prove $C^1$-regularity of the solutions outside of singular set.

19 pages. arXiv admin note: text overlap with arXiv:1302.4148