On the Discrete Spectrum of Robin Laplacians in Conical Domains
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Publication:4607489
DOI10.1051/mmnp/201611208zbMath1390.35208arXiv1507.08980OpenAlexW2286297587MaRDI QIDQ4607489
Publication date: 14 March 2018
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.08980
Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral theory; eigenvalue problems on manifolds (58C40) Variational methods for eigenvalues of operators (49R05)
Related Items (14)
Discrete spectrum of interactions concentrated near conical surfaces ⋮ On the bound states of Schrödinger operators with δ-interactions on conical surfaces ⋮ Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer ⋮ Spectral asymptotics for \(\delta\)-interactions on sharp cones ⋮ Functional-difference equations and their link with perturbations of the Mehler operator ⋮ Parasitic eigenvalues of spectral problems for the Laplacian with third-type boundary conditions ⋮ Asymptotics of Robin eigenvalues on sharp infinite cones ⋮ Eigenvalue counting function for Robin Laplacians on conical domains ⋮ Dirichlet spectrum of the Fichera layer ⋮ Functional difference equations and eigenfunctions of a Schrödinger operator with δ ′ −interaction on a circular conical surface ⋮ A spectral isoperimetric inequality for cones ⋮ Effective operators for Robin eigenvalues in domains with corners ⋮ Spectral transitions for Aharonov-Bohm Laplacians on conical layers ⋮ Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones
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