TY - JOUR
T1 - Minimal Positive Entire Solution of Semilinear Elliptic Equation
JO - Journal of Partial Differential Equations
VL - 2
SP - 141
EP - 148
PY - 2005
DA - 2005/05
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5350.html
KW - Super and sub-solution method
KW - minimal positive solution
KW - singular semilinear elliptic equation
AB - <p>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 &gt; 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.</p>