Author:
Guefaifia Rafik,Bouali Tahar,Boulaaras Salah
Abstract
AbstractIn this paper, using variational methods introduced in the previous study on fractional elliptic systems, we prove the existence of at least three weak solutions for an elliptic nonlinear system with a p-Laplacian ψ-Hilfer operator.
Publisher
Springer Science and Business Media LLC
Reference17 articles.
1. Bonanno, G., Marano, S.A.: On the structure of the critical set of non-differentiable functions with a weak compactness condition. Appl. Anal. 89, 1–10 (2010)
2. Candito, P., Agui, G.D.: Three solutions to a perturbed nonlinear discrete Dirichlet problem. J. Math. Anal. Appl. 375, 594–601 (2011)
3. Guefaifia, R., Boulaaras, S., Kamache, F.: On the existence of three solutions of Dirichlet fractional systems involving the p-Laplacian with Lipschitz nonlinearity. Bound. Value Probl. 131, 2–15 (2020)
4. Heidarkhani, S., Henderson, J.: Multiple solutions for a nonlocal perturbed elliptic problem of p-Kirchhoff type. Commun. Appl. Nonlinear Anal. 19, 25–39 (2012)
5. Heidarkhani, S., Henderson, J.: Critical point approaches to quasilinear second order differential equations dependingon a parameter. Topol. Methods Nonlinear Anal. 44, 177–197 (2014)