Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width

Corentin Léna; Jonathan Rohleder

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arXiv · 2305.11799

Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width

Corentin Léna·Jonathan Rohleder

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Abstract

We prove sharp upper bounds for the first and second non-trivial eigenvalues of the Neumann Laplacian in two classes of domains: parallelograms and domains of constant width. This gives in particular a new proof of an isoperimetric inequality for parallelograms recently obtained by A. Henrot, A. Lemenant and I. Lucardesi.

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BibTeX RIS

Corentin Léna, Jonathan Rohleder. 2023-05-19. Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width. https://arxiv.org/abs/2305.11799

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