Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915061037006848 |
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| author | Lin, Daowen Ma, Xi-Nan |
| author_facet | Lin, Daowen Ma, Xi-Nan |
| contents | We derive an integral identity for a class $p$-Laplace equation, and then classify all positive finite energy cylindrically symmetric solutions of the equation (\ref{1.2}) for $3\leq k\leq n-1,$ with the help of some a prior estimates. Combining this with the result of Secchi-Smets-Willem{\cite{SSW03}}, as a consequence, we obtain the best constant and extremal functions for the related Hardy-Sobolev-Maz'ya inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09033 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities Lin, Daowen Ma, Xi-Nan Analysis of PDEs We derive an integral identity for a class $p$-Laplace equation, and then classify all positive finite energy cylindrically symmetric solutions of the equation (\ref{1.2}) for $3\leq k\leq n-1,$ with the help of some a prior estimates. Combining this with the result of Secchi-Smets-Willem{\cite{SSW03}}, as a consequence, we obtain the best constant and extremal functions for the related Hardy-Sobolev-Maz'ya inequalities. |
| title | Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.09033 |