Isoperimetric Bounds for Lower Order Eigenvalues
Analysis of PDEs
2022-07-20 v1
Abstract
New isoperimetric inequalities for lower order eigenvalues of the Laplacian on closed hypersurfaces, of the biharmonic Steklov problems and of the Wentzell-Laplace on bounded domains in a Euclidean space are proven. Some open questions for further study are also proposed.
Cite
@article{arxiv.2110.01869,
title = {Isoperimetric Bounds for Lower Order Eigenvalues},
author = {Fuquan Fang and Changyu Xia},
journal= {arXiv preprint arXiv:2110.01869},
year = {2022}
}
Comments
19 pages