$L^{\infty }$-estimates for the Neumann problem on general domains

A. F. M. ter Elst, Hannes Meinlschmidt, Joachim Rehberg

Let $\Omega \subset {\mathbb{R}}^d$ be bounded open and connected. Suppose that $W^{1,2}(\Omega )\subset L^r(\Omega )$ for some $r>2$. Let $A$ be a pure second-order elliptic differential operator…