The fundamental solution of the fractional p-laplacian
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909625256771584 |
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| author | Del Pezzo, Leandro M. Quaas, Alexander |
| author_facet | Del Pezzo, Leandro M. Quaas, Alexander |
| contents | In this article, we find the fundamental solution of the fractional p-laplacian and use them to prove two different Liouville-type theorems. A non-existence classical Liouville-type theorem for p-superharmonic and a Louville type results for an Emden-Folder type equation with the fractional p-laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07621 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The fundamental solution of the fractional p-laplacian Del Pezzo, Leandro M. Quaas, Alexander Analysis of PDEs Primary 35A08: 35R11: 35B53, Secondary 35J70: 35J75 In this article, we find the fundamental solution of the fractional p-laplacian and use them to prove two different Liouville-type theorems. A non-existence classical Liouville-type theorem for p-superharmonic and a Louville type results for an Emden-Folder type equation with the fractional p-laplacian. |
| title | The fundamental solution of the fractional p-laplacian |
| topic | Analysis of PDEs Primary 35A08: 35R11: 35B53, Secondary 35J70: 35J75 |
| url | https://arxiv.org/abs/2307.07621 |