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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2301.06537 |
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| _version_ | 1866910397506781184 |
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| author | Ambrosio, Vincenzo |
| author_facet | Ambrosio, Vincenzo |
| contents | In this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional $p$-Laplacian operator and a Berestycki-Lions type nonlinearity. This solution satisfies a Pohozaev identity. Moreover, we prove that any sufficiently smooth solution fulfills the Pohozaev identity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_06537 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Pohozaev identity for the fractional $p$-Laplacian operator in $\mathbb{R}^N$ Ambrosio, Vincenzo Analysis of PDEs In this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional $p$-Laplacian operator and a Berestycki-Lions type nonlinearity. This solution satisfies a Pohozaev identity. Moreover, we prove that any sufficiently smooth solution fulfills the Pohozaev identity. |
| title | On the Pohozaev identity for the fractional $p$-Laplacian operator in $\mathbb{R}^N$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2301.06537 |