| R~2上带奇异性的非线性多重调和方程的正整解 |
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| 引用本文： | 许兴业.R~2上带奇异性的非线性多重调和方程的正整解[J].数学物理学报(A辑),2003(2). |
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| 作者姓名： | 许兴业 |
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| 作者单位： | 广东教育学院数学系 广州510310 |
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| 基金项目： | 广东高校自然科学研究基金资助 |
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| 摘 要： | 该文以 Schauder- Tychonoff不动点定理为工具 ,建立了一类平面上带奇异性的非线性多重调和方程的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 ,所得的结果丰富和发展文 1 - 4]的结果
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| 关 键 词： | 多重调和方程 正整解 Lebesgue控制收敛定理 等度连续 不动点定理 |
The Positive Entire Solutions for a Class Nonlinear Polyharmonic Equations with Singular on R~2 |
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| Xu Xingye.The Positive Entire Solutions for a Class Nonlinear Polyharmonic Equations with Singular on R~2[J].Acta Mathematica Scientia,2003(2). |
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| Authors: | Xu Xingye |
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| Abstract: | In this paper, author's aim is to establish the theorems of existence of positive radially symmetric entire solutions for a class singular nonlinear polyharmonic on \$R\+2\$ with the Schauder tychonoff fixed point theorem as the principal ,and presents about the properties of the solutions. It enrichs and develops the theory and apply of paper . |
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| Keywords: | Polyharmonic equation Positive entire solution Lebesgue dominated covergence theorem Equicontinuity Fixed point theorem |
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