Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 217
On a p(x)-Kirchhoff fourth order problem involving Leray-Lions type operators
Khalid Soualhine, Mohamed Talbi, Mohammed Filali
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 26, 2022
March 03, 2191
April 15, 2191

Abstract: The aim of this work is to study the existence and the multiplicity of nontrivial weak solutions for a class of p(x)-Kirchhoff type problems involving Leray-Lions operators and a changing sign weight under no flux boundary condition. By using the mountain pass type theorem and the Ekeland’s variational principle, we obtain at least two nontrivial weak solutions; moreover, by following the steps described by the Fountain Theorem, we will find an infinitely many weak solutions.