Year: 2005
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 2 : pp. 141–148
Abstract
In this paper, the singular semilinear elliptic equation Δu + q(x)u^α + p(x)u^{-β} - h(x)u^{-ϒ} = 0, x ∈ R^N, N ≥ 3, is studied via the super and sub-solution method, where Δ is the Laplacian operator, α ∈ [0, 1), β > 0, and ϒ ≥ 1 are constants. Under a set of suitable assumptions on functions q(x), p(x) and h(x), it is proved that there exists for the equation one and only one minimal positive entire solution.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JPDE-5350
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 2 : pp. 141–148
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Super and sub-solution method