| 含有p-Laplacian算子的四阶奇异边值问题正解的存在性 |
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| 引用本文： | 陈永鹏,靳宝霞. 含有p-Laplacian算子的四阶奇异边值问题正解的存在性[J]. 应用泛函分析学报, 2012, 0(2): 147-156 |
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| 作者姓名： | 陈永鹏 靳宝霞 |
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| 作者单位： | 广西工学院鹿山学院 |
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| 摘 要： | 研究了含p-Laplacian算子的奇异四阶四点边值问题,利用上下解方法与Schauder不动点定理,获得了至少一个C~3[0,1]正解的存在性结果.
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| 关 键 词： | p-Laplacian算子 奇异 四阶四点边值问题 上下解 C^2[0,1]正解 |
Positive Solutions of Singular Fourth Order Four Point Boundary Value Problems with p-Laplacian Operator |
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| CHEN Yongpeng,JIN Baoxia. Positive Solutions of Singular Fourth Order Four Point Boundary Value Problems with p-Laplacian Operator[J]. Acta Analysis Functionalis Applicata, 2012, 0(2): 147-156 |
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| Authors: | CHEN Yongpeng JIN Baoxia |
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| Affiliation: | Lushan College,Guangxi University of Technology,Liuzhou 545616,China |
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| Abstract: | In this paper,we consider the existence of positive solutions for the singular fourth order four-point boundary value problem with p-Laplacian operator.By using the upper and lower solutions method,the existence of positive solution theorem for the boundary value problem is established. |
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| Keywords: | p-Laplacian operator singular fourth-order four point boundary value problem upper and lower solution C~2[0,1]positive solution. |
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