The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains

الأصل · EN

In this paper we study the self-adjoint Krein-von Neumann realization Aₖ of the perturbed Laplacian -Δ+V in a bounded Lipschitz domain Ωⁿ. We provide an explicit and self-contained description of the domain of Aₖ in terms of Dirichlet and Neumann boundary traces, and we establish a Weyl asymptotic formula for the eigenvalues of Aₖ.