,MINIMAL POSITIVE ENTIRE SOLUTION OF SEMILINEAR ELLIPTIC EQUATION

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In this paper, the singular semilinear elliptic equation △u + q(x)uα + p(x)u-β - h(x)uγ= 0, x ∈ RN, N ∞ 3,is studied via the super and sub-solution method, where △ is the Laplacian operator,α∈ [0, 1), β> 0, and γ≥ i 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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