| 含导数项的p-Laplacian算子多点边值问题三个正解的存在性 |
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| 引用本文： | 李春岭,刘锡平,贾梅,李高尚,李芳菲.含导数项的p-Laplacian算子多点边值问题三个正解的存在性[J].上海理工大学学报,2007,29(1):17-21. |
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| 作者姓名： | 李春岭 刘锡平 贾梅 李高尚 李芳菲 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 摘 要： | 利用Leggett-Williams不动点定理的一个扩展定理,研究了非线性项含导数项的pLapla-cian算子多点边值问题,得到了三个正解存在的充分条件.
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| 关 键 词： | 不动点定理 正解 p-Laplacian算子 边值问题 |
| 文章编号： | 1007-6735（2007）01-0017-05 |
| 修稿时间： | 2006-03-13 |
Existence of three positive solutions in a multi-points boundary value problem of p-Laplacian operator with first-order derivative |
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| LI Chun-ling,LIU Xi-ping,JIA Mei,LI Gao-shang,LI Fang-fei.Existence of three positive solutions in a multi-points boundary value problem of p-Laplacian operator with first-order derivative[J].Journal of University of Shanghai For Science and Technology,2007,29(1):17-21. |
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| Authors: | LI Chun-ling LIU Xi-ping JIA Mei LI Gao-shang LI Fang-fei |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shangkai 200093, China |
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| Abstract: | The existence of three positive solutions in a multipoints boundary value problem of differential equation with a p-Laplacian operator is investigated.An extension of the LeggettWilliams fixed point theorm is utilized and a sufficient condition for the existence of three positive solutions is obtained. |
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| Keywords: | fixed-point theorem positive solution p-Laplacian operator boundary value prob-lem |
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