| 奇非线性多调和方程的整体正解 |
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| 引用本文： | 汪全珍,陈祖墀.奇非线性多调和方程的整体正解[J].中国科学技术大学学报,2003,33(5):524-532. |
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| 作者姓名： | 汪全珍 陈祖墀 |
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| 作者单位： | 中国科学技术大学数学系,合肥,230026 |
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| 基金项目： | ProjectsupportedbyNNSFofChina (No .10 0 710 80and 10 10 10 2 4) |
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| 摘 要： | 证明了具有奇性的一类非线性多调和方程在R^n(n≥3)上的整体正解的存在性和多解性，用两个具体的例子说明定理的应用．
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| 关 键 词： | 多调和方程 整体正解 Schauder-Tychonov不动点定理 |
Positive Entire Solutions to the Singular Nonlinear Polyharmonic Equations |
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| WANG Quan-zhen,CHEN Zu-chi.Positive Entire Solutions to the Singular Nonlinear Polyharmonic Equations[J].Journal of University of Science and Technology of China,2003,33(5):524-532. |
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| Authors: | WANG Quan-zhen CHEN Zu-chi |
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| Abstract: | The existence and multiplicity results on the positive entire solutions of a class of singular nonlinear polyharmonic equations in R n are established. The main tool in the proof is the Schauder-Tychonov fixed point theorem. Two examples are given to illustrate the application of the main theorems. |
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| Keywords: | polyharmonic equation positive entire solution fixed point theorem |
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