Sharp Lower Bounds for the First Eigenvalues of the Bi-Laplace Operator
Analysis of PDEs
2020-01-22 v5
Abstract
We obtain sharp lower bounds for the first eigenvalue of four types of eigenvalue problem defined by the bi-Laplace operator on compact manifolds with boundary and determine all the eigenvalues and the corresponding eigenfunctions of a Wentzell-type bi-Laplace problem on Euclidean balls.
Cite
@article{arxiv.1802.05502,
title = {Sharp Lower Bounds for the First Eigenvalues of the Bi-Laplace Operator},
author = {Qiaoling Wang and Changyu Xia},
journal= {arXiv preprint arXiv:1802.05502},
year = {2020}
}
Comments
In this version, we corrected some typos