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

被引：0
作者：
Rafik Guefaifia
Salah Boulaaras
Fares Kamache
机构：
[1] Larbi Tebessi University,Department of Mathematics, Faculty of Exact Sciences
[2] Qassim University,Department of Mathematics, College of Sciences and Arts
[3] University of Oran 1,Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO)
来源：
Boundary Value Problems | / 2020卷
关键词：
Fractional differential equations; Riemann–Liouville fractional derivatives; Variational methods; Three solutions; -Laplacian; 35J60; 35B30; 35B40; 35J15; 35J25;
D O I：
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摘要：
A class of perturbed fractional nonlinear systems is studied. The dynamical system possesses two control parameters and a Lipschitz nonlinearity order of p−1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$p-1$\end{document}. 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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