Abstract and Applied Analysis
Volume 2010 (2010), Article ID 435083, 10 pages
doi:10.1155/2010/435083
Research Article

Existence and Nonexistence Results for Classes of Singular Elliptic Problem

Peng Zhang and Jia-Feng Liao

Department of Mathematics, Zunyi Normal College, Zunyi 563002, China

Received 14 January 2010; Accepted 19 July 2010

Academic Editor: Norimichi Hirano

Copyright © 2010 Peng Zhang and Jia-Feng Liao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.