Multiple solutions for superlinear fractional $p$-Laplacian equations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909391339388928 |
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| author | Iannizzotto, Antonio Staicu, Vasile Vespri, Vincenzo |
| author_facet | Iannizzotto, Antonio Staicu, Vasile Vespri, Vincenzo |
| contents | We study a Dirichlet problem driven by the (degenerate or singular) fractional $p$-Laplacian and involving a $(p-1)$-superlinear reaction at infinity, not necessarily satisfying the Ambrosetti-Rabinowitz condition. Using critical point theory, truncation, and Morse theory, we prove the existence of at least three nontrivial solutions to the problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10119 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiple solutions for superlinear fractional $p$-Laplacian equations Iannizzotto, Antonio Staicu, Vasile Vespri, Vincenzo Analysis of PDEs 35A15, 35R11, 58E05 We study a Dirichlet problem driven by the (degenerate or singular) fractional $p$-Laplacian and involving a $(p-1)$-superlinear reaction at infinity, not necessarily satisfying the Ambrosetti-Rabinowitz condition. Using critical point theory, truncation, and Morse theory, we prove the existence of at least three nontrivial solutions to the problem. |
| title | Multiple solutions for superlinear fractional $p$-Laplacian equations |
| topic | Analysis of PDEs 35A15, 35R11, 58E05 |
| url | https://arxiv.org/abs/2411.10119 |