Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width
Spectral Theory
2024-03-29 v4 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.2305.11799,
title = {Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width},
author = {Corentin Léna and Jonathan Rohleder},
journal= {arXiv preprint arXiv:2305.11799},
year = {2024}
}
Comments
18 pages, 1 figure. Minor edits and updated list of references. To appear in "Analysis and Mathematical Physics"