Work

Inequalities for Eigenvalues of Laplacian and Biharmonic Operators on Submanifolds

Year: 2026

Type: article

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.

Source: Journal of Mathematical Study

DOI: 10.4208/jms.v59n4.26.02

Authors: Yong Luo, Xianjing Zheng

Institution: Chongqing University of Technology

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G8317361627