An Existence Result for a \((p(x), q(x))\)-Kirchhoff Type System with Dirichlet Boundary Conditions via Topological Degree Method


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Authors

  • Soukaina Yacini
  • Chakir Allalou
  • Khalid Hilal

Keywords:

weak solutions, \((p(x), q(x))\)-Kirchhoff type system, variable-exponent Sobolev spaces, topological degree methods

Abstract

This paper focuses on the existence of at least one weak solution for a nonlocal elliptic system of \((p(x), q(x))\)-Kirchhoff type with Dirichlet boundary conditions. The results are obtained by applying the topological degree method of Berkovi to an abstract Hammerstein equation associated to our system and also by the theory of the generalized Sobolev spaces.

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Published

2024-07-15

How to Cite

Yacini, S., Allalou, C., & Hilal, K. (2024). An Existence Result for a \((p(x), q(x))\)-Kirchhoff Type System with Dirichlet Boundary Conditions via Topological Degree Method. Eurasian Mathematical Journal, 15(2), 75–91. Retrieved from https://emj.enu.kz/index.php/main/article/view/344

Issue

Vol. 15 No. 2 (2024)

Section

Articles