A global second order Sobolev regularity for $p$-Laplacian type equations with variable coefficients in bounded domains

Qianyun Miao, Fa Peng, Yuan Zhou

Let $\Omega \subset R^n$ be a bounded convex domain with $n\ge 2$. Suppose that $A$ is uniformly elliptic and belongs to $W^{1,n}$ when $n\ge 3$ or $W^{1,q}$ for some $q>2$ when $n=2$. Fo…