Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior

We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature.

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Main Authors: Lin Wei, Zuodong Yang
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2010/104625
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author Lin Wei
Zuodong Yang
author_facet Lin Wei
Zuodong Yang
author_sort Lin Wei
collection DOAJ
description We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature.
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institution Kabale University
issn 1687-9643
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language English
publishDate 2010-01-01
publisher Wiley
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series International Journal of Differential Equations
spelling doaj-art-b84df3c1d850427aa815d5642d397bbe2025-02-03T01:22:38ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/104625104625Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic BehaviorLin Wei0Zuodong Yang1Institute of Mathematics, School of Mathematics Science, Nanjing Normal University, Jiangsu, Nanjing 210046, ChinaInstitute of Mathematics, School of Mathematics Science, Nanjing Normal University, Jiangsu, Nanjing 210046, ChinaWe study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature.http://dx.doi.org/10.1155/2010/104625
spellingShingle Lin Wei
Zuodong Yang
Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior
International Journal of Differential Equations
title Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior
title_full Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior
title_fullStr Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior
title_full_unstemmed Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior
title_short Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior
title_sort large solutions of quasilinear elliptic system of competitive type existence and asymptotic behavior
url http://dx.doi.org/10.1155/2010/104625
work_keys_str_mv AT linwei largesolutionsofquasilinearellipticsystemofcompetitivetypeexistenceandasymptoticbehavior
AT zuodongyang largesolutionsofquasilinearellipticsystemofcompetitivetypeexistenceandasymptoticbehavior