Inequalities for Eigenvalues of Laplacian and Biharmonic Operators on Submanifolds
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.
Authors
- Xi Yin Zheng (ORCID: https://orcid.org/0000-0002-5314-6471)
- Yong Luo (ORCID: https://orcid.org/0000-0002-0938-259X)
Institutions
- Chongqing University of Technology (CN)
Publication Details
- Journal
- Journal of Mathematical Study
- Published
- 2026-11-09
- DOI
- https://doi.org/10.4208/jms.v59n4.26.02
- Citations
- 2
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.76
Funders
- National Natural Science Foundation of China