| 一类半线性椭圆方程组正解的稳定性 |
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| 引用本文： | 李萍,崔仁浩,史峻平,王玉文.一类半线性椭圆方程组正解的稳定性[J].哈尔滨师范大学自然科学学报,2010,26(2):4-6. |
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| 作者姓名： | 李萍 崔仁浩 史峻平 王玉文 |
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| 作者单位： | 哈尔滨师范大学 |
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| 基金项目： | 数学天元，黑龙江省青年科学基金 |
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| 摘 要： | 考虑半线性椭圆方程组Δu+λf(u,ν)=0,x∈Ω,Δv+λg(u,ν)=0,x∈Ω,u(x)=ν(x)=0,x∈Ω.(1)其中λ0,Ω是有界光滑区域.f,g是定义在R2+=(0,∞)×(0,∞)上的实值函数,在满足一定条件下,讨论此半线性椭圆方程组正解的稳定性问题.
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| 关 键 词： | 半线性椭圆方程组 正解的稳定性 |
The Stability of Positive Solution to Semilinear Elliptic Systems |
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| Li Ping,Cui Renhao,Shi Junping,Wang Yuwen.The Stability of Positive Solution to Semilinear Elliptic Systems[J].Natural Science Journal of Harbin Normal University,2010,26(2):4-6. |
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| Authors: | Li Ping Cui Renhao Shi Junping Wang Yuwen |
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| Institution: | Li Ping,Cui Renhao,Shi Junping,Wang Yuwen(Harbin Normal University) |
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| Abstract: | In this paper,the stability of the positive solution to semilinear elliptic system is studied, where λ0,Ω is a bounded smooth domain.Here f,g are real-valued functions defined on R2＋=（0,∞）×（0,∞）. |
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| Keywords: | Semilinear elliptic systems Existence of positive solutions |
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