Qualitative analysis on the critical points of the Robin function

Francesca Gladiali, Massimo Grossi, Peng Luo +1

Let $\Omega \subset {\mathbb{R}}^N$ be a smooth bounded domain with $N\ge 2$ and ${\Omega }_{\epsilon }=\Omega \backslash B(P,\epsilon )$ where $B(P,\epsilon )$ is the ball centered at $P\in \Omega$ and radius $\epsilon$. In this paper, we est…