Quantitative boundary Hölder estimates for the inhomogeneous Poisson problem through a probabilistic approach

Iulian Cîmpean, Ionel Popescu, Arghir Zarnescu

In this paper we derive quantitative boundary Hölder estimates, with explicit constants, for the inhomogeneous Poisson problem in a bounded open set $D\subset {\mathbb{R}}^d$. Our a…