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中文摘要：
讨论一类具有Dirichlet边值的半线性椭圆方程{-△u=λ（u^p-u^q）,x∈Ω u=0,x∈δΩ其中Ω包含R^n，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．
英文摘要：
We mainly consider the uniqueness of the stable positive solution to a semilinear elliptic equation with Dirichlet boundary condition {-△u=λ（u^p-u^q）,x∈Ω u=0,x∈δΩ Meanwhile, in this paper, we show the unique about stable solution for a special semilinear elliptic equation when Ω being to R^n（n = 2, 3）, by Liouville and re-scaling technique.
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