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 |
Published: |
SpringerOpen
2007-10-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2007/19349 |