The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains
Jussi Behrndt, Fritz Gesztesy, Till Micheler, Marius Mitrea · arXiv (Cornell University) · 2015
In this paper we study the self-adjoint Krein-von Neumann realization $A_K$ of the perturbed Laplacian $-Δ+V$ in a bounded Lipschitz domain $Ω\subset\mathbb{R}^n$. We provide an explicit and self-contained description of the domain of $A_K$ in terms of Dirichlet and Neumann boundary traces, and we establish a Weyl asymptotic formula for the eigenvalues of $A_K$.