Regularity for quasi-linear elliptic systems with discontinuous coefficients
Zhaosheng Feng, Shenzhou Zheng · Dynamics of Partial Differential Equations · 2008
In this paper we study regularity and partial regularity for the weak solution of a class of general quasi-linear elliptic equations and systems, which are of the quasi-linear main coefficients satisfying the VMO conditions in x uniformly with respect to u, and of the lower order items satisfying controllable growth.