| 一类双调和方程的可解性 |
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| 引用本文： | 吴琼,钟金标. 一类双调和方程的可解性[J]. 应用数学, 2007, 20(4): 748-751 |
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| 作者姓名： | 吴琼 钟金标 |
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| 作者单位： | 1. 安庆师范学院,安徽,安庆,246011;安徽大学,安徽,合肥,230039
2. 安庆师范学院,安徽,安庆,246011 |
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| 摘 要： | 利用上下解方法、嵌入定理和Leray-schauder不动点定理证明了一类双调和方程弱解的存在性定理.做为定理的应用,给出了一个实例.
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| 关 键 词： | 上、下解 Leray-schauder不动点定理 嵌入定理 |
| 文章编号： | 1001-9847（2007）04-0748-04 |
| 修稿时间： | 2007-04-09 |
Solvability for Certain Biharmonic Equation |
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| WU Qiong,ZHONG Jin-biao. Solvability for Certain Biharmonic Equation[J]. Mathematica Applicata, 2007, 20(4): 748-751 |
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| Authors: | WU Qiong ZHONG Jin-biao |
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| Affiliation: | Anqing Teachers College,Anqing 246011,China;Anhui University,Hefei 230039,China;Anhui University,Hefei 230039,China |
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| Abstract: | An existence theorem of weak solution to a class of biharmonic equation was proved by the sub-super-solution method,the imbedding theorem and the Leray-schauder fixed point theorem.As the application of the theorem.an example was given. |
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| Keywords: | Sub-super-solution The Leray-schauder fixed point theorem The imbedding theorem |
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