Existence and Nonexistence Results for Classes of Singular Elliptic Problem

Peng Zhang and Jia-Feng Liao

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: 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 the sub‐supersolution method.

Date: 2010
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https://doi.org/10.1155/2010/435083

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:435083

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