2 papers
math.AP2024
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
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…
math.AP2020
Critical fractional elliptic equations with exponential growth without Ambrosetti-Rabinowitz type condition
Hamilton Bueno, Eduardo Huerto Caqui, Olimpio Miyagaki
In this paper we establish, using variational methods combined with the Moser-Trudinger inequality, existence and multiplicity of weak solutions for a class of critical fractional…