On negative eigenvalues of generalized Laplace operators.

DOI10.1016/S0034-4877(01)80095-1zbMath1038.47034OpenAlexW1997351336MaRDI QIDQ5960839

Sergio A. Albeverio, Volodymyr Koshmanenko, Witold Karwowski

Publication date: 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(01)80095-1

zbMATH Keywords

singular perturbationsgeneralized Laplace operatornegative eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractals (28A80)

Related Items

Eigenvalues of singular measures and Connes' noncommutative integration

Cites Work

• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Schrödinger operators with singular interactions
• Schrödinger operator perturbed by operators related to null sets
• On Schrödinger operators perturbed by fractal potentials
• Generalized sum of operators
• Singular rank one perturbations of self-adjoint operators and Krein theory of self-adjoint extensions
• On spectral theory of elliptic operators
• ON THE PROBLEM OF THE RIGHT HAMILTONIAN UNDER SINGULAR FORM-SUM PERTURBATIONS
• Square Powers of Singularly Perturbed Operators
• Perturbations of self-adjoint operators by singular bilinear forms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item