Existence of solutions for a strongly nonlinear (p(x),q(x))-elliptic systems via topological degree | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 20، دوره 16، شماره 3، خرداد 2025، صفحه 229-240 اصل مقاله (458.09 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33222.4945 | ||
| نویسندگان | ||
| Samira Lecheheb* 1؛ Abdelhak Fekrache2 | ||
| 1Laboratory of Applied Mathematics and History and Didactics of Mathematics "LAMAHIS", Department of Mathematics, University of 20 August 1955, Skikda, Algeria | ||
| 2Faculty of Sciences, University of 20 August 1955, Skikda, Algeria | ||
| 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 | ||
| مراجع | ||
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