$L^{p,\lambda}$-Regularity for a Class of Degenerate Elliptic Equations with Discontinuous Coefficients
一类具间断系数退化椭圆型方程的$L^{p,\lambda}$正则性

A class of quasi-linear degenerate elliptic equations, which coefficient matrix satisfies VMO conditions uniformly with respect to $x$ for any given $u$, is considered. It is shown that the gradient of its weak solution is $L^{p,\lambda}$-regular.