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2010 Existence and Nonexistence Results for Classes of Singular Elliptic Problem
Peng Zhang, Jia-Feng Liao
Abstr. Appl. Anal. 2010: 1-10 (2010). DOI: 10.1155/2010/435083

Abstract

The singular semilinear elliptic problem - Δ u + k ( x ) u - γ = λ u p in Ω , u > 0 in Ω , u = 0 on Ω , is considered, where Ω is a bounded domain with smooth boundary in R N , k C loc α ( 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.

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Peng Zhang. Jia-Feng Liao. "Existence and Nonexistence Results for Classes of Singular Elliptic Problem." Abstr. Appl. Anal. 2010 1 - 10, 2010. https://doi.org/10.1155/2010/435083

Information

Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1207.35168
MathSciNet: MR2674392
Digital Object Identifier: 10.1155/2010/435083

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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