Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915901804118016 |
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| author | Schneider, Baruch Schneiderova, Diana Zhang, Yifan |
| author_facet | Schneider, Baruch Schneiderova, Diana Zhang, Yifan |
| contents | This paper is concerned with an optimisation problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimisation problem thanks to the known bang-bang distribution of the optimal weight function. The minimisation of the principal eigenvalue of the problem in a spherical shell of an arbitrary dimension is fully solved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03498 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell Schneider, Baruch Schneiderova, Diana Zhang, Yifan Spectral Theory Functional Analysis This paper is concerned with an optimisation problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimisation problem thanks to the known bang-bang distribution of the optimal weight function. The minimisation of the principal eigenvalue of the problem in a spherical shell of an arbitrary dimension is fully solved. |
| title | Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell |
| topic | Spectral Theory Functional Analysis |
| url | https://arxiv.org/abs/2410.03498 |