Kohler-Jobin inequality for $p$-Laplace operator in the Gauss space
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866911553359446016 |
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| author | Chiacchio, Francesco Ferone, Vincenzo Mercaldo, Anna Wang, Jing |
| author_facet | Chiacchio, Francesco Ferone, Vincenzo Mercaldo, Anna Wang, Jing |
| contents | A sharp lower bound for the first Dirichlet eigenvalue of the $p$-laplacian in Gaussian space is derived for sets with prescribed generalized torsional rigidity. The result provides an extension of the classical spectral inequality due to Kohler-Jobin. The proof is based on a careful analysis of the generalized torsional rigidity and on a sharp mass comparison result. Furthermore, a Payne-Rayner type inequality is established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28188 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kohler-Jobin inequality for $p$-Laplace operator in the Gauss space Chiacchio, Francesco Ferone, Vincenzo Mercaldo, Anna Wang, Jing Analysis of PDEs 35P15, 47J10, 35J92 A sharp lower bound for the first Dirichlet eigenvalue of the $p$-laplacian in Gaussian space is derived for sets with prescribed generalized torsional rigidity. The result provides an extension of the classical spectral inequality due to Kohler-Jobin. The proof is based on a careful analysis of the generalized torsional rigidity and on a sharp mass comparison result. Furthermore, a Payne-Rayner type inequality is established. |
| title | Kohler-Jobin inequality for $p$-Laplace operator in the Gauss space |
| topic | Analysis of PDEs 35P15, 47J10, 35J92 |
| url | https://arxiv.org/abs/2603.28188 |