Inequalities for eigenvalues of Laplacian and biharmonic operators on submanifolds

2024/12/20 by Yong Luo, Luo, Yong, Xi Yin Zheng +1
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/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.

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