Regularity of weak solutions for degenerate quasilinear elliptic equations involving operator curl

In this paper we consider the regularity of weak solutions of a quasilinear elliptic system involving operator curl. The paper is an extended version of the regularity theory for p  -curl system which is an approximation for Bean's critical-state model for type II superconductors. It will be shown that the weak solution is of class C1+αC1+α which is optimal.