On the eigenvalues of Aharonov-Bohm operators with varying poles

DOI10.2140/apde.2014.7.1365zbMath1301.35069arXiv1310.1211OpenAlexW2066716702MaRDI QIDQ462921

Benedetta Noris, Virginie Bonnaillie-Noël, Manon Nys, Susanna Terracini

Publication date: 22 October 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1211

zbMATH Keywords

eigenvaluesnodal domainsAharonov-Bohm operators

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Singular elliptic equations (35J75)

Related Items (10)

Multiple Aharonov–Bohm eigenvalues: The case of the first eigenvalue on the disk ⋮ Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with varying poles ⋮ Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators ⋮ Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications ⋮ On the Aharonov-Bohm operators with varying poles: the boundary behavior of eigenvalues ⋮ On multiple eigenvalues for Aharonov-Bohm operators in planar domains ⋮ On Aharonov-Bohm operators with two colliding poles ⋮ Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles ⋮ On the Leading Term of the Eigenvalue Variation for Aharonov--Bohm Operators with a Moving Pole ⋮ Eigenvalues variations for Aharonov-Bohm operators

This page was built for publication: On the eigenvalues of Aharonov-Bohm operators with varying poles