Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916180881571840 |
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| author | Léna, Corentin Rohleder, Jonathan |
| author_facet | Léna, Corentin Rohleder, Jonathan |
| contents | We prove sharp upper bounds for the first and second non-trivial eigenvalues of the Neumann Laplacian in two classes of domains: parallelograms and domains of constant width. This gives in particular a new proof of an isoperimetric inequality for parallelograms recently obtained by A. Henrot, A. Lemenant and I. Lucardesi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11799 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width Léna, Corentin Rohleder, Jonathan Spectral Theory Mathematical Physics Analysis of PDEs We prove sharp upper bounds for the first and second non-trivial eigenvalues of the Neumann Laplacian in two classes of domains: parallelograms and domains of constant width. This gives in particular a new proof of an isoperimetric inequality for parallelograms recently obtained by A. Henrot, A. Lemenant and I. Lucardesi. |
| title | Estimates for the lowest Neumann eigenvalues of parallelograms and domains of constant width |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2305.11799 |