2 problems

Let $\Omega$ be a domain and let $N_{0}$ denote the Newton potential operator, viewed as the inverse of a Laplacian in $L^{2}(\Omega)$ with nonlocal boundary conditions. Let…

Let $\Omega$ be the domain under consideration, let $N_{0}$ be its Newton potential operator, and let $\Delta_{\Omega}^{N}$ be the Neumann Laplacian on $\Omega$. A simple spectrum…