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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.14893 |
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| _version_ | 1866916625195728896 |
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| author | Robert, Frédéric |
| author_facet | Robert, Frédéric |
| contents | We prove a Pucci-Serrin conjecture on critical dimensions under a uniform bound on the energy. The method is based on the analysis of the Green's function of polyharmonic operators with "almost" Hardy potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14893 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical dimensions for polyharmonic operators: The Pucci-Serrin conjecture for solutions of bounded energy Robert, Frédéric Analysis of PDEs Primary 35J35, Secondary 35J60, 35B44, 35J08 We prove a Pucci-Serrin conjecture on critical dimensions under a uniform bound on the energy. The method is based on the analysis of the Green's function of polyharmonic operators with "almost" Hardy potential. |
| title | Critical dimensions for polyharmonic operators: The Pucci-Serrin conjecture for solutions of bounded energy |
| topic | Analysis of PDEs Primary 35J35, Secondary 35J60, 35B44, 35J08 |
| url | https://arxiv.org/abs/2407.14893 |