Time periodic solutions for strongly nonlinear parabolic systems with p(x)-growth conditions

Autor:	Nour Eddine Alaa, Abderrahim Charkaoui, Hamza Alaa
Rok vydání:	2021
Předmět:	Physics Numerical Analysis Nonlinear system Partial differential equation Time periodic Degree (graph theory) Applied Mathematics Mathematical analysis Differential operator Analysis Variable (mathematics)
Zdroj:	Journal of Elliptic and Parabolic Equations. 7:815-839
ISSN:	2296-9039 2296-9020
DOI:	10.1007/s41808-021-00118-9
Popis:	The aim of this paper is to investigate a class of nonlinear periodic systems involving general differential operators with variable exponents. We assume that the reactions contain strong nonlinearities with p(x)-growth conditions on the gradients of the solutions. By using Leray Schauder’s topological degree combined with the sub- and super-solutions method, we prove the existence of weak periodic solutions to the considered systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e904c7e539cf76383039f0c8fd18a356 https://doi.org/10.1007/s41808-021-00118-9 Zobrazit plný text záznamu Full text from SpringerLink