| 一维p-Laplacian方程边值问题多解的存在性 |
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| 引用本文： | 贺铁山,陈文革. 一维p-Laplacian方程边值问题多解的存在性[J]. 应用泛函分析学报, 2008, 10(4): 346-351 |
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| 作者姓名： | 贺铁山 陈文革 |
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| 作者单位： | 1. 仲恺农业技术学院,计算科学系,广州,510225
2. 华南理工大学,数学科学学院,广州,510640 |
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| 基金项目： | 广州市科技计划项目 ， 仲恺农业技术学院科研项目 |
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| 摘 要： | 利用Clark定理，研究了一维p-Laplacian方程边值问题多解的存在性，得到了这类边值问题至少有n对非平凡解的充分条件．
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| 关 键 词： | p-Laplacian方程 Clark定理 临界点 n对解 |
The Existence of Multiple Solutions for the One-Dimensional p-Laplacian Boundary Value Problems |
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| HE Tie-shan,CHEN Wen-ge. The Existence of Multiple Solutions for the One-Dimensional p-Laplacian Boundary Value Problems[J]. Acta Analysis Functionalis Applicata, 2008, 10(4): 346-351 |
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| Authors: | HE Tie-shan CHEN Wen-ge |
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| Affiliation: | HE Tie-shan~1 CHEN Wen-ge~2 1.Department of Computation Science,Zhongkai University of Agriculture and Technology,Guangzhou 510225,China 2.School of Mathematical Sciences,South China University of Technology,Guangzhou 510640,China |
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| Abstract: | The existence of multiple solutions is investigated for the one-dimensional p-Laplacian boundary value problems.By using Clark's theorem,the sufficient conditions of the existence of at least n pairs nontrivial solutions are obtained for the boundary value problems. |
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| Keywords: | p-Laplacian equation Clark's theorem critical point n pairs solutions |
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