Radial positive solutions for (p(x),q(x))-Laplacian systems

In this paper, we study the existence of radial positive solutions for nonvariational elliptic systems involving the p(x)-Laplacian operator, we show the existence of solutions using Leray-Schauder topological degree theory, sustained by Gidas-Spruck Blow-up technique.

Bibliographic Details
Main Authors: Mohamed Zitouni, Ali Djellit, Lahcen Ghannam
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51625
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author Mohamed Zitouni
Ali Djellit
Lahcen Ghannam
author_facet Mohamed Zitouni
Ali Djellit
Lahcen Ghannam
author_sort Mohamed Zitouni
collection DOAJ
description In this paper, we study the existence of radial positive solutions for nonvariational elliptic systems involving the p(x)-Laplacian operator, we show the existence of solutions using Leray-Schauder topological degree theory, sustained by Gidas-Spruck Blow-up technique.
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spelling doaj.art-8fce5984aec24519b856cbe55422dde52023-11-08T19:10:41ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.51625Radial positive solutions for (p(x),q(x))-Laplacian systemsMohamed Zitouni0Ali Djellit1Lahcen Ghannam2Mathematics Dynamics and Modilization LaboratoryMathematics Dynamics and Modilization LaboratoryUniversity of paul sabatie Toulouse III In this paper, we study the existence of radial positive solutions for nonvariational elliptic systems involving the p(x)-Laplacian operator, we show the existence of solutions using Leray-Schauder topological degree theory, sustained by Gidas-Spruck Blow-up technique. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51625
spellingShingle Mohamed Zitouni
Ali Djellit
Lahcen Ghannam
Radial positive solutions for (p(x),q(x))-Laplacian systems
Boletim da Sociedade Paranaense de Matemática
title Radial positive solutions for (p(x),q(x))-Laplacian systems
title_full Radial positive solutions for (p(x),q(x))-Laplacian systems
title_fullStr Radial positive solutions for (p(x),q(x))-Laplacian systems
title_full_unstemmed Radial positive solutions for (p(x),q(x))-Laplacian systems
title_short Radial positive solutions for (p(x),q(x))-Laplacian systems
title_sort radial positive solutions for p x q x laplacian systems
url https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51625
work_keys_str_mv AT mohamedzitouni radialpositivesolutionsforpxqxlaplaciansystems
AT alidjellit radialpositivesolutionsforpxqxlaplaciansystems
AT lahcenghannam radialpositivesolutionsforpxqxlaplaciansystems