| 一类$R^{N}(N\geq 3)$上奇异非线性双调和方程正整解 |
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| 引用本文： | 叶常青.一类$R^{N}(N\geq 3)$上奇异非线性双调和方程正整解[J].系统科学与数学,2007,27(6):892-898. |
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| 作者姓名： | 叶常青 |
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| 作者单位： | 叶常青（漳州师范学院数学系,漳州,363000） |
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| 摘 要： | 建立了RN(N≥3)上一类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,推广了相关文献的结果.
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| 关 键 词： | 双调和方程 正整解 闭凸子集 连续映照 相对紧 等度连续 |
| 收稿时间： | 2005-3-22 |
| 修稿时间： | 2005年3月22日 |
Positive Entire Solutions of a Class of Singular NonlinearBiharmonic Equations on $R^{N}(N\geq 3)$ |
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| Ye,Changqing.Positive Entire Solutions of a Class of Singular NonlinearBiharmonic Equations on $R^{N}(N\geq 3)$[J].Journal of Systems Science and Mathematical Sciences,2007,27(6):892-898. |
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| Authors: | Ye Changqing |
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| Institution: | Department of Mathematics, Zhangzhou Teachers College, Zhangzhou 363000 |
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| Abstract: | The existence of positive radially symmetric entire solutions is proved for a class of singular nonlinear biharmonic equations on $R^{N}(N\geq 3)$ and the properties of the solution is presented.The obtained results generalize the existing ones. |
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| Keywords: | Biharmonic equation positive entire solution close convex subset continuous mapping relative compactness equicontinuity |
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