Upper bound on the multiplicity of eigenvalues of the Sch\"odinger-Dirichlet operator in dimension two
Analysis of PDEs
2025-08-25 v2
Abstract
We establish an upper bound on the multiplicity of eigenvalues of the Sch\"odinger-Dirichlet operator in dimension two. We give a proof based on a generalized Morse Lemma due to Cheng \cite{Ch}.
Cite
@article{arxiv.2506.14463,
title = {Upper bound on the multiplicity of eigenvalues of the Sch\"odinger-Dirichlet operator in dimension two},
author = {Mourad Choulli},
journal= {arXiv preprint arXiv:2506.14463},
year = {2025}
}