| 半线性椭圆方程径向正解的非存在性及解的振荡性和有界性的充分条件 |
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| 引用本文： | 谈骏渝.半线性椭圆方程径向正解的非存在性及解的振荡性和有界性的充分条件[J].重庆大学学报(社会科学版),1995,1(5). |
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| 作者姓名： | 谈骏渝 |
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| 作者单位： | 重庆大学系统工程及应用数学系 重庆，630044 |
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| 摘 要： | 设r=sum from i=1 to (x_i~2),Ω={r|0≤r
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| 关 键 词： | 半线性椭圆方程 径向解 非存在性 振荡性 有界性 |
Nonexistence of Radial Positive Solution,Sufficient Conditions of Oscillation and Boundedness of Radial Solution for Semilinear Elliptic Equation |
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| Tan Junyu.Nonexistence of Radial Positive Solution,Sufficient Conditions of Oscillation and Boundedness of Radial Solution for Semilinear Elliptic Equation[J].Journal of Chongqing University(Social Sciences Edition),1995,1(5). |
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| Authors: | Tan Junyu |
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| Abstract: | In this paper we consider the following boundary value problem of the nonlinear second order elliptic partial differential equation
where
is an open ball in R The nonexistence theorem of radial positive
solution, sufficient conditions of oscillation and boundedness of radial solution and estimation for bounded solution are given in this paper. |
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| Keywords: | semilinear elliptic equation radial solution nonexistennce oscillation boundedness |
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