The first Neumann eigenvalue and the width
Spectral Theory
2024-08-01 v2 Analysis of PDEs
Classical Analysis and ODEs
Differential Geometry
Abstract
We prove the sharp lower bound of the first Neumann eigenvalue for bounded convex planar domain in term of its diameter and width.
Cite
@article{arxiv.2407.13984,
title = {The first Neumann eigenvalue and the width},
author = {Haibin Wang and Guoyi Xu},
journal= {arXiv preprint arXiv:2407.13984},
year = {2024}
}
Comments
reference and Remark 1.4 is added