Robin Problems of Elliptic Equations on Rough Domains: Hölder Regularity, Green's Functions, and Harmonic Measures

Jiayi Wang, Dachun Yang, Sibei Yang

Let $n\ge 2$ and $s\in (n-2,n)$. Assume that $\Omega \subset {\mathbb{R}}^n$ is a one-sided bounded non-tangentially accessible domain with $s$-Ahlfors regular boundary and $\sigma$ is the surf…