Upper bound on the multiplicity of eigenvalues of the Schrödinger–Dirichlet operator in dimension two

We establish an upper bound on the multiplicity of eigenvalues of the Schrödinger–Dirichlet operator in dimension two. We give a proof based on a generalized Morse Lemma due to Cheng [3].

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Publication Details

Journal
Annales mathématiques Blaise Pascal
Published
2026-11-02
DOI
https://doi.org/10.5802/ambp.440
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

Upper bound on the multiplicity of eigenvalues of the Schrödinger–Dirichlet operator in dimension two

Mourad Choulli
Annales mathématiques Blaise Pascal
Spectral Theory in Mathematical Physics
article

Upper bound on the multiplicity of eigenvalues of the Schrödinger–Dirichlet operator in dimension two

Mourad Choulli
article en

Abstract

We establish an upper bound on the multiplicity of eigenvalues of the Schrödinger–Dirichlet operator in dimension two. We give a proof based on a generalized Morse Lemma due to Cheng [3].

Annales mathématiques Blaise PascalVol. 33(1)
Université de Lorraine (FR)
Openalex Percentile: Top 89%
Spectral Theory in Mathematical Physics
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Upper bound on the multiplicity of eigenvalues of the Schrödinger–Dirichlet operator in dimension two — Mourad Choulli · Annales mathématiques Blaise Pascal (2026) | TGRS Research Map | TGRS