Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators

DOI10.4171/JST/251zbMath1419.35143arXiv1611.06750WikidataQ129046401 ScholiaQ129046401MaRDI QIDQ2422537

Laura Abatangelo, Veronica Felli, Corentin Léna, Luc Hillairet

Publication date: 19 June 2019

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06750

zbMATH Keywords

asymptotics of eigenvaluesAharonov-Bohm operatorssmall capacity sets

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Potentials and capacities on other spaces (31C15)

Related Items (11)

The Dirichlet problem in a planar domain with two moderately close holes ⋮ Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case ⋮ Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications ⋮ Perturbed eigenvalues of polyharmonic operators in domains with small holes ⋮ On simple eigenvalues of the fractional Laplacian under removal of small fractional capacity sets ⋮ Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region ⋮ On Aharonov-Bohm operators with two colliding poles ⋮ Asymptotic behavior of u-capacities and singular perturbations for the Dirichlet-Laplacian ⋮ On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains – with some numerics – ⋮ Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains ⋮ Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region

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