We mainly consider the uniqueness of the stable positive solution to a semilinear elliptic equation with Dirichlet boundary condition { -△u = λ(up - uq), x ∈ Ω, u =0, x ∈ (a)Ω,Meanwhile, in this paper, we show the unique about stable solution for a special semilinear elliptic equation when Ω (C) Rn(n = 2, 3), by Liouville and re-scaling technique.%讨论一类具有Dirichlet边值的半线性椭圆方程{-△u=λ(up-uq) x∈Ωu=0,x∈Ω 其中Ω(∩)Rn,主要利用Liouville及re-scaling等方法探讨,当n=2,3时,这类方程正稳定解的唯一性.
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