Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters

Charlotte Dietze, Konstantin Pankrashkin

Let $\Omega \subset {\mathbb{R}}^n$ with $n\ge 2$ be a bounded Lipschitz domain with outer unit normal $\nu$. For $\alpha \in \mathbb{R}$ let $R_{\Omega }^{\alpha }$ be the Laplacian in $\Omega$ with the Robin boundary…