Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909560096161792 |
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| author | Barbato, Rosa Della Pietra, Francesco |
| author_facet | Barbato, Rosa Della Pietra, Francesco |
| contents | Let $Ω$ be a bounded, smooth domain of $\mathbb R^N$, $N\ge 2$. In this paper, we prove some inequalities involving the first Robin eigenvalue of the $p$-laplacian operator. In particular, we prove an upper bound for the first Robin eigenvalue of nonlinear elliptic operators in terms of the first Dirichlet eigenvalue. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12565 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators Barbato, Rosa Della Pietra, Francesco Analysis of PDEs Let $Ω$ be a bounded, smooth domain of $\mathbb R^N$, $N\ge 2$. In this paper, we prove some inequalities involving the first Robin eigenvalue of the $p$-laplacian operator. In particular, we prove an upper bound for the first Robin eigenvalue of nonlinear elliptic operators in terms of the first Dirichlet eigenvalue. |
| title | Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.12565 |