Inequalities for eigenvalues of Laplacian and biharmonic operators on submanifolds
arXiv:2412.15636
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.
Accepted by Jounral of Mathematical Study, 16 pages