Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights

In this paper, by using subsuper solutions method, we study the existence of weak positive solutions for a new class of p,q Laplacian nonlinear elliptic system in bounded domains, when ax, bx,αx, and βx are sign-changing functions that maybe negative near the boundary, without assuming sign conditio...

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Main Authors: Rafik Guefaifia, Salah Mahmoud Boulaaras, Sultan Alodhaibi, Salem Alkhalaf
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/5302513
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author Rafik Guefaifia
Salah Mahmoud Boulaaras
Sultan Alodhaibi
Salem Alkhalaf
author_facet Rafik Guefaifia
Salah Mahmoud Boulaaras
Sultan Alodhaibi
Salem Alkhalaf
author_sort Rafik Guefaifia
collection DOAJ
description In this paper, by using subsuper solutions method, we study the existence of weak positive solutions for a new class of p,q Laplacian nonlinear elliptic system in bounded domains, when ax, bx,αx, and βx are sign-changing functions that maybe negative near the boundary, without assuming sign conditions on f0,g0,h0, and γ0.
format Article
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-028ec01a0e0e495494be23ee3ea805c22025-02-03T05:53:14ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/53025135302513Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing WeightsRafik Guefaifia0Salah Mahmoud Boulaaras1Sultan Alodhaibi2Salem Alkhalaf3Department of Mathematics, Faculty of Exact Sciences, Larbi Tebessi University, Tebessa 12002, AlgeriaDepartment of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Saudi ArabiaDepartment of Computer, College of Sciences and Arts, Al-Rass, Qassim University, Saudi ArabiaIn this paper, by using subsuper solutions method, we study the existence of weak positive solutions for a new class of p,q Laplacian nonlinear elliptic system in bounded domains, when ax, bx,αx, and βx are sign-changing functions that maybe negative near the boundary, without assuming sign conditions on f0,g0,h0, and γ0.http://dx.doi.org/10.1155/2020/5302513
spellingShingle Rafik Guefaifia
Salah Mahmoud Boulaaras
Sultan Alodhaibi
Salem Alkhalaf
Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights
Complexity
title Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights
title_full Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights
title_fullStr Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights
title_full_unstemmed Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights
title_short Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights
title_sort existence of positive weak solutions for a new class of p q laplacian nonlinear elliptic system with sign changing weights
url http://dx.doi.org/10.1155/2020/5302513
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