MULTIPLICITY RESULTS FOR CRITICAL FRACTIONAL AMBROSETTI-PRODI TYPE SYSTEM WITH NONLINEARITIES INTERACTING WITH THE SPECTRUM

Caqui E.H.; Lima S.M.D.S.; Pereira F.R. · Electronic Journal of Differential Equations (2025) · DOI: 10.58997/ejde.2025.19

Resumen

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 λk,s for k > 1 is also studied.

Instituciones: Universidad Privada del Norte