International Journal of Nonlinear Analysis and Applications

Existence of solutions for a strongly nonlinear (p(x),q(x))-elliptic systems via topological degree

Articles in Press

Document Type : Research Paper

Authors

1 Laboratory of Applied Mathematics and History and Didactics of Mathematics "LAMAHIS", Department of Mathematics, University of 20 August 1955, Skikda, Algeria

2 Faculty of Sciences, University of 20 August 1955, Skikda, Algeria

10.22075/ijnaa.2024.33222.4945

Abstract

This article is concerned with the study of the existence of a distributional solution for a strongly nonlinear (p(x),q(x))-elliptic systems. By means of the Berkovits degree theory, with suitable assumptions on the nonlinearities, we prove the existence of nontrivial solutions to our problem.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 03 April 2024
  • Receive Date: 07 January 2024
  • Revise Date: 16 February 2024
  • Accept Date: 19 February 2024