The asymptotic behavior of the first Robin eigenvalue with negative parameter as $p$ goes to $+\infty$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908296623947776 |
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| author | Barbato, Rosa de Giovanni, Francesca Masiello, Alba Lia |
| author_facet | Barbato, Rosa de Giovanni, Francesca Masiello, Alba Lia |
| contents | In this paper, we want to study the asymptotic behavior of the first $p$-Laplacian eigenvalue, with Robin boundary conditions, with negative boundary parameter. In particular, we prove that the limit of the eigenfunctions is a viscosity solution for the infinity Laplacian eigenvalue problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01715 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The asymptotic behavior of the first Robin eigenvalue with negative parameter as $p$ goes to $+\infty$ Barbato, Rosa de Giovanni, Francesca Masiello, Alba Lia Analysis of PDEs 35J05, 35J25, 35B40 In this paper, we want to study the asymptotic behavior of the first $p$-Laplacian eigenvalue, with Robin boundary conditions, with negative boundary parameter. In particular, we prove that the limit of the eigenfunctions is a viscosity solution for the infinity Laplacian eigenvalue problem. |
| title | The asymptotic behavior of the first Robin eigenvalue with negative parameter as $p$ goes to $+\infty$ |
| topic | Analysis of PDEs 35J05, 35J25, 35B40 |
| url | https://arxiv.org/abs/2504.01715 |