| 带p-Laplacian算子三点四阶奇异边值问题的多解 |
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| 引用本文： | 郭环,侯文英,路慧芹.带p-Laplacian算子三点四阶奇异边值问题的多解[J].山东科学,2013,26(1):6-9. |
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| 作者姓名： | 郭环 侯文英 路慧芹 |
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| 作者单位： | 山东师范大学数学科学学院，山东 济南 250014 |
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| 基金项目： | 山东省优秀中青年科学家奖励基金（BS2011SF022）;山东省高等学校科技计划项目(J09LA08) |
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| 摘 要： | 利用不动点指数理论研究了一类含p-Laplacian算子三点四阶奇异边值问题正解的存在性，给出了至少存在两个正解的条件，改进并推广了最近的一些已知结果。
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| 关 键 词： | p-Laplacian算子 奇异边值问题 正解 不动点指数 |
| 收稿时间： | 2012-04-12 |
Existence of multiple solutions of a fourth-order three-pointboundary value problem with a p-Laplacian operator |
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| GUO Huan
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HOU Wen-ying
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LU Hui-qin.Existence of multiple solutions of a fourth-order three-pointboundary value problem with a p-Laplacian operator[J].Shandong Science,2013,26(1):6-9. |
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| Authors: | GUO Huan HOU Wen-ying LU Hui-qin |
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| Institution: | School of Mathematics, Shandong Normal University, Jinan 250014, China |
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| Abstract: | Abstract∶This paper employs the theory of fixed point index to investigate the existence of two positive solutions for a class of fourth-order three-point singular boundary value problems with a p-Laplacian operator. The paper also presents some sufficient conditions that at least two positive solutions exist. Our work improves some recently known results. |
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| Keywords: | p-Laplacian singular boundary value problem positive solution fixed point index |
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