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arXiv · 2405.04298

Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum

Eduardo. H. Caqui·Sandra M. de S. Lima·Fábio R. Pereira
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Abstract

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 $\lambda_{k,s}$ for $k>1$ is also investigated.

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Eduardo. H. Caqui, Sandra M. de S. Lima, Fábio R. Pereira. 2024-05-07. Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum. https://arxiv.org/abs/2405.04298

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