Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities
This paper investigates the p(x)-Laplacian equations with singular nonlinearities −Δp(x)u=λ/uγ(x) in Ω, u(x)=0 on ∂Ω, where −Δp(x)u=−div(|∇u|p(x)−2∇u) is called p(x)-Laplacian. The existence of positive solutions is given, and the asymptotic behav...
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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2007/19349 |
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doaj-e9d12dce97994f49860a09a4e36ae6482020-11-24T21:55:12ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-10-01200710.1155/2007/19349Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular NonlinearitiesQihu ZhangThis paper investigates the p(x)-Laplacian equations with singular nonlinearities −Δp(x)u=λ/uγ(x) in Ω, u(x)=0 on ∂Ω, where −Δp(x)u=−div(|∇u|p(x)−2∇u) is called p(x)-Laplacian. The existence of positive solutions is given, and the asymptotic behavior of solutions near boundary is discussed.http://dx.doi.org/10.1155/2007/19349 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qihu Zhang |
spellingShingle |
Qihu Zhang Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities Journal of Inequalities and Applications |
author_facet |
Qihu Zhang |
author_sort |
Qihu Zhang |
title |
Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities |
title_short |
Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities |
title_full |
Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities |
title_fullStr |
Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities |
title_full_unstemmed |
Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities |
title_sort |
existence and asymptotic behavior of positive solutions to p(x)-laplacian equations with singular nonlinearities |
publisher |
SpringerOpen |
series |
Journal of Inequalities and Applications |
issn |
1025-5834 1029-242X |
publishDate |
2007-10-01 |
description |
This paper investigates the p(x)-Laplacian equations with singular nonlinearities −Δp(x)u=λ/uγ(x) in Ω, u(x)=0 on ∂Ω, where −Δp(x)u=−div(|∇u|p(x)−2∇u) is called p(x)-Laplacian. The existence of positive solutions is given, and the asymptotic behavior of solutions near boundary is discussed. |
url |
http://dx.doi.org/10.1155/2007/19349 |
work_keys_str_mv |
AT qihuzhang existenceandasymptoticbehaviorofpositivesolutionstopxlaplacianequationswithsingularnonlinearities |
_version_ |
1725864033789149184 |