| 一类R^2上奇异非线性多重调和方程的正整解 |
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| 引用本文： | 许兴业. 一类R^2上奇异非线性多重调和方程的正整解[J]. 应用数学学报, 1999, 22(2): 186-192 |
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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 |
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| 基金项目： | 广东教育学院中青年科研骨干基金 |
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| 摘 要： | 以Ｓｃｈａｕｄｅｒ－Ｔｙｃｈｏｎｏｆｆ不动点定理为工具，建立了一类平面上奇异非线性多重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。
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| 关 键 词： | 多重调和方程 正整解 非线性 不动点定理 |
THE POSITIVE ENTIRE SOLUTIONSFOR A CLASS SINGULAR NONLINEARPOLYHARMONIC EQUATIONS IN R2 |
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| XU XINGYE. THE POSITIVE ENTIRE SOLUTIONSFOR A CLASS SINGULAR NONLINEARPOLYHARMONIC EQUATIONS IN R2[J]. Acta Mathematicae Applicatae Sinica, 1999, 22(2): 186-192 |
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| Authors: | XU XINGYE |
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| Abstract: | In the paper, our aim is to establish the theorems of existence of positive ra-dial symmetric entire solutions for a class of nonlinear polyharmonic equations in with theSchauder-Tychonoff fixed point theorem as the principal tool, presents about the propertiesof the solutions. |
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| Keywords: | Polyharmonic equation positive entire solution continuous mapping relative compactness fixed point theorem |
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