Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913344096567296 |
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| author | Caqui, Eduardo. H. Lima, Sandra M. de S. Pereira, Fábio R. |
| author_facet | Caqui, Eduardo. H. Lima, Sandra M. de S. Pereira, Fábio R. |
| contents | We investigated the existence of solutions for a class of Ambrosetti-Prodi type systems involving the fractional Laplacian operator and with nonlinearities reaching critical growth and interacting, in some sense, with the spectrum of the operator. The resonant case in $λ_{k,s}$ for $k>1$ is also investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04298 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum Caqui, Eduardo. H. Lima, Sandra M. de S. Pereira, Fábio R. Analysis of PDEs Functional Analysis 35B06, 35B09, 35J15, 35J20 We investigated the existence of solutions for a class of Ambrosetti-Prodi type systems involving the fractional Laplacian operator and with nonlinearities reaching critical growth and interacting, in some sense, with the spectrum of the operator. The resonant case in $λ_{k,s}$ for $k>1$ is also investigated. |
| title | Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum |
| topic | Analysis of PDEs Functional Analysis 35B06, 35B09, 35J15, 35J20 |
| url | https://arxiv.org/abs/2405.04298 |