Inequalities for eigenvalues of Laplacian and biharmonic operators on submanifolds
Differential Geometry
2024-12-23 v1
Abstract
In this paper we study eigenvalues of Laplacian and biharmonic operators on compact domains in complete manifolds. We establish several new inequalities for eigenvalues of Laplacian and biharmonic operators respectively by using Sobolev type inequalities.
Cite
@article{arxiv.2412.15636,
title = {Inequalities for eigenvalues of Laplacian and biharmonic operators on submanifolds},
author = {Yong Luo and Xianjing Zheng},
journal= {arXiv preprint arXiv:2412.15636},
year = {2024}
}
Comments
Accepted by Jounral of Mathematical Study, 16 pages