Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
Analysis of PDEs
2018-03-06 v2
Abstract
It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole .
Cite
@article{arxiv.1712.08380,
title = {Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk},
author = {Laura Abatangelo},
journal= {arXiv preprint arXiv:1712.08380},
year = {2018}
}