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一类奇异非线性双调和方程的正整解
引用本文:许兴业. 一类奇异非线性双调和方程的正整解[J]. 数学物理学报(A辑), 1998, 0(Z1)
作者姓名:许兴业
作者单位:广东教育学院数学系 广州510303
摘    要:
该文建立了一类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性定理,并给出了解的有关性质,丰富和发展了文[1]」,[2]的理论和应用.

关 键 词:双调和方程  正整解  闭凸子集  相对紧  等度连续

The Positive Entire Solutions of Class of Singular Nonlinear Biharmonic Equations
Xu Xingye. The Positive Entire Solutions of Class of Singular Nonlinear Biharmonic Equations[J]. Acta Mathematica Scientia, 1998, 0(Z1)
Authors:Xu Xingye
Affiliation:Xu Xingye Department of Mathematics of Guangdong Education College,Guangzhou 510303
Abstract:
In this paper,author's aim is singular to establish the theorems of exsitence of posi-tive radial symmetry entire solutions of a class of nonlinear biharmonic equations on R~2 and pre-sents about the properties of the solutions. It enrichs and develops the theory and apply of pa-per [1] and [2].
Keywords:Biharmonic equation  positive entire solution  close convex subset  relative compactness  equicontinuity.
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