Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width-Reference-Cited by-同舟云学术

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

Published:2024-04-12 Issue:3 Volume:14 Page:
ISSN:1664-2368
Container-title:Analysis and Mathematical Physics
language:en
Short-container-title:Anal.Math.Phys.

Author:

Léna Corentin,Rohleder Jonathan

Abstract

AbstractWe 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.

Funder

Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

Sweden Research Council

Università degli Studi di Padova

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s13324-024-00900-7.pdf

Reference15 articles.

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5. Henrot, A., Lemenant, A., Lucardesi, I.: An isoperimetric problem with two distinct solutions, Trans. Am. Math. Soc., to appear, arXiv:2210.17225