一类半线性椭圆型方程衰减正整解的存在唯一性

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The Existence and Uniqueness of the Decaying Positive Entire Solutions for a Class of Semilinear Elliptic Equations

摘要: 本文首先证明方程△u-m²u+f(x,u)=0,x∈Rⁿ,n≥3,m>0存在衰减的正整解,然后重点证明这种解的唯一性。
- 弱上解 /
- 弱下解 /
- 单调收敛定理 /
- 非增 /
- 非减 /
- 局部Hðlder连续 /
- 强极值原理 /
- 局部Lipschitz连续
Abstract: This paper first proves the following equations △u-m²u+f(x,u)=0,x∈Rⁿ,n≥3,m>0 existence of decaying positive entire solution, then emphatically, proves this solution's uniqueness.
- weak supersolution /
- weak subsolution /
- monotone convergencetheorem /
- nonincreasing /
- nondecreasing /
- locally Hðlder continuous.locally Lipschitz continuous /
- strong maximum principle /

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