The Talenti comparison result in a quantitative form
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929225148137472 |
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| author | Amato, Vincenzo Barbato, Rosa Masiello, Alba Lia Paoli, Gloria |
| author_facet | Amato, Vincenzo Barbato, Rosa Masiello, Alba Lia Paoli, Gloria |
| contents | In this paper, we obtain a quantitative version of the classical comparison result of Talenti for elliptic problems with Dirichlet boundary conditions. The key role is played by quantitative versions of the Pólya-Szego inequality and of the Hardy-Littlewood inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18617 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Talenti comparison result in a quantitative form Amato, Vincenzo Barbato, Rosa Masiello, Alba Lia Paoli, Gloria Analysis of PDEs 35J05, 35J25, 35B35 In this paper, we obtain a quantitative version of the classical comparison result of Talenti for elliptic problems with Dirichlet boundary conditions. The key role is played by quantitative versions of the Pólya-Szego inequality and of the Hardy-Littlewood inequality. |
| title | The Talenti comparison result in a quantitative form |
| topic | Analysis of PDEs 35J05, 35J25, 35B35 |
| url | https://arxiv.org/abs/2311.18617 |