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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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-10-01
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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 |