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 98
On a class of p(x)-biharmonic Dirichlet problems in Sobolev space with variable exponent
Mohamed El Ouaarabi, Chakir Allalou, Said Melliani
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 08, 2022
March 03, 2093
April 15, 2093

Abstract: The purpose of the present paper is to study the existence of weak solutions for some p(x)- biharmonic type problems involving the p(x)-Laplacian-like operators, originated from a capillarity phenomenon, under Dirichlet boundary conditions. Using a topological degree for a class of demicontinuous operators of generalized (S+) type and the theory of the Sobolev space with variable exponent, we obtain the existence of weak solutions of this problem. To our best knowledge, this paper is the first attempt in the study of p(x)- biharmonic type problems involving the p(x)-Laplacian-like operators ...