Eduardo H. Caqui, Sandra M. de S. Lima, Fabio R. Pereira
Abstract:
We study the existence of solutions for
Ambrosetti-Prodi type systems involving the fractional Laplace
operator, and having 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 studied.
Submitted April 6, 2024. Published February 26, 2025.
Math Subject Classifications: 35B06, 35B09, 35J15, 35J20.
Key Words: Ambrosetti-Prodi problem; fractional systems; resonance; critical growth.
DOI: 10.58997/ejde.2025.19
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Eduardo H. Caqui Departamento de Ciencias Sede Breña Universidad Privada del Norte Av. Tingo María 1122, Cercado de Lima, Lima, Peru email: eduardocaqui11@gmail.com |
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Sandra M. de S. Lima Departamento de Ciências Exatas Biol\'ogicas e da Terra, INFES-UFF Santo Ant\^onio de Pádua - RJ, 28470-000, Brazil email: sandra.msouzalima@gmail.com |
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Fábio R. Pereira Departamento de Matemática Instituto de Ciências Exatas Universidade Federal de Juiz de Fora, 30161-970 Juiz de Fora - MG, Brazil email: fabio.pereira@ufjf.edu.br |
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