A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909153722630144 |
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| author | Soares, Matheus Nunes Santos, Fábio Reis dos |
| author_facet | Soares, Matheus Nunes Santos, Fábio Reis dos |
| contents | An integral inequality for the singular p-laplacian is established for 3/2<p<2. As consequence, lower bounds for the first eigenvalue of the p-laplacian are obtained for minimal submanifolds and prescribed scalar curvature submanifolds in the unit sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06081 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere Soares, Matheus Nunes Santos, Fábio Reis dos Differential Geometry 53C42, 53A10, 53C20 An integral inequality for the singular p-laplacian is established for 3/2<p<2. As consequence, lower bounds for the first eigenvalue of the p-laplacian are obtained for minimal submanifolds and prescribed scalar curvature submanifolds in the unit sphere. |
| title | A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere |
| topic | Differential Geometry 53C42, 53A10, 53C20 |
| url | https://arxiv.org/abs/2403.06081 |