On Aharonov–Bohm Operators with Two Colliding Poles

We consider Aharonov–Bohm operators with two poles and prove sharp asymptotics for simple eigenvalues as the poles collapse at an interior point out of nodal lines of the limit eigenfunction.

Bibliographic Details
Main Authors: Abatangelo Laura, Felli Veronica, Léna Corentin
Format: Article
Language:English
Published: De Gruyter 2017-05-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2017-0004
Description
Summary:We consider Aharonov–Bohm operators with two poles and prove sharp asymptotics for simple eigenvalues as the poles collapse at an interior point out of nodal lines of the limit eigenfunction.
ISSN:1536-1365
2169-0375