Upper bounds for Steklov eigenvalues of subgraphs of polynomial growth Cayley graphs

Léonard Tschanz

We study the Steklov problem on a subgraph with boundary $(\Omega ,B)$ of a polynomial growth Cayley graph $\Gamma$. We prove that for each $k\in \mathbb{N}$, the $k^{\mbox{th}}$ eigenvalue…