Open AccessMultiplicity of solutions for perturbed nonlinear fractional p-Laplacian boundary value systems related with two control parameters
Author(s) -
Jiabin Zuo,
Rafik Guefaifia,
Fares Kamache,
Salah Boulaaras
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2108827z
Subject(s) - mathematics , differentiable function , p laplacian , multiplicity (mathematics) , nonlinear system , mathematical analysis , fractional laplacian , boundary value problem , laplace operator , pure mathematics , physics , quantum mechanics
This paper deals with the study of a class of perturbed nonlinear fractional p-Laplacian differential systems, where by using the variational method, two control parameters together with recent three critical points theorem by Bonanno and Candito for differentiable functionals for perturbed systems, the existence of three weak solutions has been proved.