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arXiv · 2506.14463

Upper bound on the multiplicity of eigenvalues of the Sch\"odinger-Dirichlet operator in dimension two

Mourad Choulli
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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}.

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Mourad Choulli. 2025-06-17. Upper bound on the multiplicity of eigenvalues of the Sch\"odinger-Dirichlet operator in dimension two. https://arxiv.org/abs/2506.14463

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