Inequalities for eigenvalues of Laplacian and biharmonic operators on submanifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866912163115827200 |
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| author | Luo, Yong Zheng, Xianjing |
| author_facet | Luo, Yong Zheng, Xianjing |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15636 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inequalities for eigenvalues of Laplacian and biharmonic operators on submanifolds Luo, Yong Zheng, Xianjing Differential Geometry 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. |
| title | Inequalities for eigenvalues of Laplacian and biharmonic operators on submanifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.15636 |