Equivalent Characterizations and Their Applications of Solvability of $L^p$ Poisson--Robin(-Regularity) Problems on Rough Domains

Xuelian Fu, Dachun Yang, Sibei Yang

Let $n\ge 2$, $\Omega \subset {\mathbb{R}}^n$ be a bounded one-sided chord arc domain, and $p\in (1,\infty )$. In this article, we study the (weak) $L^p$ Poisson--Robin(-regularity) problem fo…