Upper bounds for Steklov eigenvalues of a hypersurface of revolution
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917726834917376 |
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| author | Selutckii, Denis |
| author_facet | Selutckii, Denis |
| contents | In this paper we find an upper bound for the first Steklov eigenvalue for a surface of revolution with boundary consisting of two spheres of different radii. Moreover, we prove that in some cases this boundary is sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Upper bounds for Steklov eigenvalues of a hypersurface of revolution Selutckii, Denis Differential Geometry In this paper we find an upper bound for the first Steklov eigenvalue for a surface of revolution with boundary consisting of two spheres of different radii. Moreover, we prove that in some cases this boundary is sharp. |
| title | Upper bounds for Steklov eigenvalues of a hypersurface of revolution |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2407.13422 |