Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain

Abdelamlek Brahim; Ali Djellit; Saadia Tas

doi:10.5269/bspm.v36i3.33081

Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain

Auteurs-es

Abdelamlek Brahim University of Souk-Ahras, Algeria.
Ali Djellit University of Annaba
Saadia Tas Abderrahmane Mira Bejaia University

DOI :

https://doi.org/10.5269/bspm.v36i3.33081

Mots-clés :

nonlinear elliptic systems, p(x)-Kirchhoff-type problems, weak solutions, mountain pass theorem

Résumé

In this paper we study of the existence of solutions for a class of elliptic system with nonlocal term in R^{N}. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.

Biographies de l'auteur-e

Ali Djellit, University of Annaba

Laboratory of Mathematics Dynamic and Modelization
Saadia Tas, Abderrahmane Mira Bejaia University

Applied Mathematics Laboratory