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关于R^2上奇异的非线性双调和方程正整解
引用本文:叶常青.关于R^2上奇异的非线性双调和方程正整解[J].漳州师范学院学报,2008,21(4).
作者姓名:叶常青
作者单位:漳州师范学院数学与信息科学系
摘    要:本文以Schauder-Tychonoff不动点定理为工具,建立了一类R 2上奇异非线性双调和方程正的径向对称整体解的存在定理,并给出了解的有关性质.

关 键 词:双调和方程  正整解  相对紧  不动点定理

The Positive Entire Solutions about Singular Nonlinear Biharmonic Equations on R2
YE Chang-qing.The Positive Entire Solutions about Singular Nonlinear Biharmonic Equations on R2[J].Journal of ZhangZhou Teachers College(Natural Science),2008,21(4).
Authors:YE Chang-qing
Abstract:In this paper,our aim is to establish the theorems of existence of positive radial symmetric entire solutions for a class of nonlinear biharmonic equations on R2 in with the Schauder-Tychonoff fixed point theorem as the principal tool present about the properties of the solutions.
Keywords:Biharmonic equation  Positive entire solution  Fix point theorem  Relative compactness
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