Mouad Allalou, Mohamed El Ouaarabi, Abderrahmane Raji
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On a Class of p(z)-Biharmonic Kirchhoff Type Problems with Indefinite Weight and No-Flow Boundary Condition
In this paper we study the existence of weak solutions for a fourth order variable exponent Kirchhoff type problem involving p(z)-biharmonic operator with indefinite weight and no flux boundary condition. The proof of the existence result relies on employing the concept of a Fredholm-type results for a pair of nonlinear operators \((\mathfrak {O},\mathfrak {S})\), in conjunction with the theory of variable exponent Sobolev spaces.
期刊介绍:
The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences