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一类具有Allee影响的椭圆方程正解存在的一个必要条件

A necessary condition for a class of elliptic equations with Allee effect
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摘要 讨论一类具有强Allee影响的方程Δu+λu(u-b(x))(c(x)-u)=0,x∈Ω,u=0,x∈Ω(这里0<b(x)<c(x)≤M)的正解存在的一个必要条件。 In this paper, we mainly discuss the existence of positive solutions of elliptic equations{△u+λu(u-b(x))(c(x)-u)=0,x∈Ωu=0,x∈aΩwhere 0〈6(x)〈c(z)≤M)
出处 《黑龙江工程学院学报》 CAS 2009年第2期79-80,共2页 Journal of Heilongjiang Institute of Technology
基金 黑龙江省教育厅资助项目(11531246)
关键词 半线性椭圆方程 正解 存在性 必要条件 semilinear elliptic equatiom positive solution existence necessary condition
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参考文献9

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二级参考文献5

  • 1Ouyang Tiancheng, Shi Junping. Exact muliplicity of positive solutions for a class of semilinear problem. Jour. Diff. Equa. ,1998,146( 1 ) :121 - 156.
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