A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866912060955164672 |
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| author | Paoli, Gloria Piscitelli, Gianpaolo Sannipoli, Rossano |
| author_facet | Paoli, Gloria Piscitelli, Gianpaolo Sannipoli, Rossano |
| contents | In this paper we study the first Steklov-Laplacian eigenvalue with an internal fixed spherichal obstacle. We prove that the spherical shell locally maximizes the first eigenvalue among nearly spherical sets when both the internal ball and the volume are fixed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_04449 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle Paoli, Gloria Piscitelli, Gianpaolo Sannipoli, Rossano Analysis of PDEs 28A75, 35J25, 35P15 In this paper we study the first Steklov-Laplacian eigenvalue with an internal fixed spherichal obstacle. We prove that the spherical shell locally maximizes the first eigenvalue among nearly spherical sets when both the internal ball and the volume are fixed. |
| title | A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle |
| topic | Analysis of PDEs 28A75, 35J25, 35P15 |
| url | https://arxiv.org/abs/2005.04449 |