Hardy-Sobolev interpolation inequalities
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912173636190208 |
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| author | Dietze, Charlotte Nam, Phan Thành |
| author_facet | Dietze, Charlotte Nam, Phan Thành |
| contents | We derive a family of interpolation estimates which improve Hardy's inequality and cover the Sobolev critical exponent. We also determine all optimizers among radial functions in the endpoint case and discuss open questions on nonrestricted optimizers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11249 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hardy-Sobolev interpolation inequalities Dietze, Charlotte Nam, Phan Thành Classical Analysis and ODEs Mathematical Physics Analysis of PDEs We derive a family of interpolation estimates which improve Hardy's inequality and cover the Sobolev critical exponent. We also determine all optimizers among radial functions in the endpoint case and discuss open questions on nonrestricted optimizers. |
| title | Hardy-Sobolev interpolation inequalities |
| topic | Classical Analysis and ODEs Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2312.11249 |