Minimizers and best constants for a weighted critical Sobolev inequality involving the polyharmonic operator
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908940266110976 |
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| author | de Oliveira, José Francisco Silva, Jeferson |
| author_facet | de Oliveira, José Francisco Silva, Jeferson |
| contents | Our main goal is to explicitly compute the best constant for the Sobolev-type inequality involving the polyharmonic operator obtained in (Analysis and Applications 22, pp. 1417-1446, 2024). To achieve this goal, we also establish both regularity and classification results for a generalized critical polyharmonic equation in the radial setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09035 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimizers and best constants for a weighted critical Sobolev inequality involving the polyharmonic operator de Oliveira, José Francisco Silva, Jeferson Analysis of PDEs Our main goal is to explicitly compute the best constant for the Sobolev-type inequality involving the polyharmonic operator obtained in (Analysis and Applications 22, pp. 1417-1446, 2024). To achieve this goal, we also establish both regularity and classification results for a generalized critical polyharmonic equation in the radial setting. |
| title | Minimizers and best constants for a weighted critical Sobolev inequality involving the polyharmonic operator |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.09035 |