Asymptotically linear fractional problems with mixed boundary conditions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910043589312512 |
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| author | Bisci, Giovanni Molica Ortega, Alejandro Vilasi, Luca |
| author_facet | Bisci, Giovanni Molica Ortega, Alejandro Vilasi, Luca |
| contents | We derive the existence of solutions for an asymptotically linear equation driven by the spectral fractional Laplacian operator with mixed Dirichlet-Neumann boundary conditions. When the nonlinear term $f$ is odd and a suitable relation between the perturbation parameter, the limit of $f(\cdot,t)/t$ as $t\to 0$ and the eigenvalues occurs, we establish also a multiplicity result via the pseudo-index theory related to the genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06127 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotically linear fractional problems with mixed boundary conditions Bisci, Giovanni Molica Ortega, Alejandro Vilasi, Luca Analysis of PDEs Primary: 49J35, 35A15, 58E05, Secondary: 35J61, 35S15 We derive the existence of solutions for an asymptotically linear equation driven by the spectral fractional Laplacian operator with mixed Dirichlet-Neumann boundary conditions. When the nonlinear term $f$ is odd and a suitable relation between the perturbation parameter, the limit of $f(\cdot,t)/t$ as $t\to 0$ and the eigenvalues occurs, we establish also a multiplicity result via the pseudo-index theory related to the genus. |
| title | Asymptotically linear fractional problems with mixed boundary conditions |
| topic | Analysis of PDEs Primary: 49J35, 35A15, 58E05, Secondary: 35J61, 35S15 |
| url | https://arxiv.org/abs/2603.06127 |