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R^(n)上超线性椭圆型方程组整体解的存在性 被引量:1

The Existence of Entire Solutions of Some Elliptic System in R^(n)
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摘要 该文用拓扑度理论讨论了超线性椭圆型方程组整体解的存在性 ,给出了保证整体解存在的一个充分条件以及整体解在无穷远处的渐近性质 . We consider the existence and the asymptotic properties of entire solutions of some elliptic system in R\+n. Some sufficient conditions which ensure the existence of entire solutions are given in this paper.
作者 薛儒英
出处 《数学物理学报(A辑)》 CSCD 北大核心 2000年第4期555-561,共7页 Acta Mathematica Scientia
关键词 渐近性 超线性椭圆型方程组 整体解 存在性 Elliptic system Degree theory Existence Asymptotic property.
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参考文献1

  • 1Ni W N,Some aspects of semilinear elliptic equations on Rn(Math Report),1987年,87页

同被引文献7

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  • 3CHEN S, LU G, Existence and nonexistence of positive solutions for class of semilinear elliptic system[J].Nonlinear Anal, 1999,38(7) :919-932.
  • 4LAIR A V, WOOD A H, Existence of entire large solutions of elliptic system[ J]. Differential Equations, 2000,164(2) :380 - 394.
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  • 6WANG X F, WOOD A H. Existence and nonexistence of entirepositive solutions of semilinear elliptic systems[ J]. Math Anal Appl, 2002,267:361 - 368.
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