Critical Concave Convex Ambrosetti-Prodi Type Problems for Fractional p-Laplacian

Author(s)

Bueno, H. P. ^[1] ; Huerto Caqui, E. ^[1] ; Miyagaki, O. H. ^[2] ; Pereira, F. R. ^[3]

Affiliation

^[1] Univ Fed Minas Gerais, Dept Math, BR-31270901 Belo Horizonte, MG - Brazil

^[2] Univ Fed Sao Carlos, Dept Math, BR-13565905 Sao Carlos, SP - Brazil

^[3] Univ Fed Juiz de Fora, Dept Math, BR-36036330 Juiz De Fora, MG - Brazil

• Document type: Journal article
• Source: ADVANCED NONLINEAR STUDIES; v. 20, n. 4, p. 847-865, NOV 2020.
• Web of Science Citations: 0

Abstract

In this paper, we consider a class of critical concave convex Ambrosetti-Prodi type problems involving the fractional p-Laplacian operator. By applying the linking theorem and the mountain pass theorem as well, the interaction of the nonlinearities with the first eigenvalue of the fractional p-Laplacian will be used to prove existence of multiple solutions. (AU)

• FAPESP's process: 19/24901-3 - Critical nonlocal quasilinear problem: existence, multiplicity and properties of the solutions
• Grantee: Olimpio Hiroshi Miyagaki
• Support Opportunities: Regular Research Grants