Existence and Nonexistence Results for Classes of Singular Elliptic Problem

The singular semilinear elliptic problem -Δu+k(x)u-γ=λup in Ω, u>0 in Ω, u=0 on ∂Ω, is considered, where Ω is a bounded domain with smooth boundary in RN, k∈Clocα(Ω)∩C(Ω¯), and γ,p,λ are three positive constants. Some existence or nonexistence results are obtained for solutions of this problem by...

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Bibliographic Details
Main Authors: Peng Zhang, Jia-Feng Liao
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/435083