On a doubly sublinear fractional $p$-Laplacian equation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916383452823552 |
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| author | Iannizzotto, A. Mosconi, S. |
| author_facet | Iannizzotto, A. Mosconi, S. |
| contents | We prove a bifurcation result for a Dirichlet problem driven by the fractional $p$-Laplacian (either degenerate or singular), in which the reaction is the difference between two sublinear powers of the unknown. In our argument, a fundamental role is played by a Sobolev vs.\ Hölder minima principle, already known for the degenerate case, which here we extend to the singular case with a simpler proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03616 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a doubly sublinear fractional $p$-Laplacian equation Iannizzotto, A. Mosconi, S. Analysis of PDEs Functional Analysis 35R11, 47H11, 35A15 We prove a bifurcation result for a Dirichlet problem driven by the fractional $p$-Laplacian (either degenerate or singular), in which the reaction is the difference between two sublinear powers of the unknown. In our argument, a fundamental role is played by a Sobolev vs.\ Hölder minima principle, already known for the degenerate case, which here we extend to the singular case with a simpler proof. |
| title | On a doubly sublinear fractional $p$-Laplacian equation |
| topic | Analysis of PDEs Functional Analysis 35R11, 47H11, 35A15 |
| url | https://arxiv.org/abs/2409.03616 |