Inequalities for the lowest magnetic Neumann eigenvalue
Spectral Theory
2018-05-16 v3
Abstract
We study the ground state energy of the Neumann magnetic Laplacian on planar domains. For a constant magnetic field we consider the question whether, under an assumption of fixed area, the disc maximizes this eigenvalue. More generally, we discuss old and new bounds obtained on this problem.
Keywords
Cite
@article{arxiv.1706.01950,
title = {Inequalities for the lowest magnetic Neumann eigenvalue},
author = {Soeren Fournais and Bernard Helffer},
journal= {arXiv preprint arXiv:1706.01950},
year = {2018}
}