Interior partial regularity for nonlinear elliptic systems with Dini continuous coefficients for the case: [formula omitted

Abstract

In this article, we consider the interior regularity for weak solutions of nonlinear elliptic systems with divergence type and Dini continuous coefficients under subquadratic growth conditions. We adopt another A -harmonic approximation technique and prove the interior partial regularity of weak solutions. The proof yields directly the optimal Hölder exponent for the derivative of the weak solutions on the regular set.