On the second eigenvalue of the infinity Laplacian with Robin boundary conditions
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912673061404672 |
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| author | Amato, Vincenzo Masiello, Alba Lia Nitsch, Carlo Trombetti, Cristina |
| author_facet | Amato, Vincenzo Masiello, Alba Lia Nitsch, Carlo Trombetti, Cristina |
| contents | We study the behaviour, as $p \to +\infty$, of the second eigenvalues of the $p$-Laplacian with Robin boundary conditions and the limit of the associated eigenfunctions. We prove that, up to some regularity of the set, the limit of the second eigenvalues is actually the second eigenvalue of the so-called $\infty$-Laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13356 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the second eigenvalue of the infinity Laplacian with Robin boundary conditions Amato, Vincenzo Masiello, Alba Lia Nitsch, Carlo Trombetti, Cristina Analysis of PDEs 35J92, 35J94, 35P15 We study the behaviour, as $p \to +\infty$, of the second eigenvalues of the $p$-Laplacian with Robin boundary conditions and the limit of the associated eigenfunctions. We prove that, up to some regularity of the set, the limit of the second eigenvalues is actually the second eigenvalue of the so-called $\infty$-Laplacian. |
| title | On the second eigenvalue of the infinity Laplacian with Robin boundary conditions |
| topic | Analysis of PDEs 35J92, 35J94, 35P15 |
| url | https://arxiv.org/abs/2410.13356 |