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

نویسندگان
Lecheheb, Samira ID 1
Fekrache, Abdelhak ID 2

1 Laboratory of Applied Mathematics and History and Didactics of Mathematics

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

doi
10.22075/ijnaa.2024.33222.4945
چکیده

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.

کلیدواژه‌ها
Topological degree, Strangly nonlinear elliptic system, p(x)-Laplacian, Generalized Lebesgue and Sobolev spaces