Current browse context:
math.SP
Change to browse by:
References & Citations
Mathematics > Spectral Theory
Title: Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width
(Submitted on 19 May 2023 (v1), revised 29 Sep 2023 (this version, v3), latest version 28 Mar 2024 (v4))
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.
Submission history
From: Corentin Léna [view email][v1] Fri, 19 May 2023 16:35:08 GMT (20kb)
[v2] Fri, 26 May 2023 09:05:50 GMT (20kb)
[v3] Fri, 29 Sep 2023 13:19:25 GMT (21kb)
[v4] Thu, 28 Mar 2024 10:15:10 GMT (19kb)
Link back to: arXiv, form interface, contact.