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On the existence of three solutions of Dirichlet fractional systems involving the p-Laplacian with Lipschitz nonlinearity
Journal article   Open access  Peer reviewed

On the existence of three solutions of Dirichlet fractional systems involving the p-Laplacian with Lipschitz nonlinearity

Rafik Guefaifia, Salah Boulaaras and Fares Kamache
Boundary value problems, Vol.2020(1), pp.1-15
31/07/2020
DOI: https://doi.org/10.1186/s13661-020-01429-x

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A class of perturbed fractional nonlinear systems is studied. The dynamical system possesses two control parameters and a Lipschitz nonlinearity order of p - 1. The multiplicity of the weak solutions is proved by means of the variational method and by Ricceri critical points theorems. An illustrative example is analyzed in order to highlight the obtained result.
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https://doi.org/10.1186/s13661-020-01429-xView
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