On eigenvalue inequalities of the Newton potential
Tynysbek Sh. Kalmenov, Durvudkhan Suragan, Bolys Sabitbek · AIP conference proceedings · 2015
In this paper we compare the eigenvalues of the Newton potential with the Dirichlet eigenvalues and the Neumann eigenvalues in a bounded domain in Rd. We also prove Rayleigh-Faber-Krahn inequality for the Laplacian with a non-local type boundary condition.