| 一类奇异边值问题三解的存在性 |
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| 引用本文： | 姜威 洪子康. 一类奇异边值问题三解的存在性[J]. 南京信息工程大学学报, 2009, 1(4): 382-384 |
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| 作者姓名： | 姜威 洪子康 |
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| 作者单位： | 南京信息工程大学,数理学院,南京,210044;南京信息工程大学,数理学院,南京,210044 |
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| 摘 要： | 利用Leggett-Williams不动点定理。研究了一类含有p-Laplacian算子的非线性奇异边值问题3个解的存在性，获得了这类方程存在3个解的充分条件．结果表明：如果非线性奇异项在其定义域内满足适当的条件，那么该问题必存在3个解．
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| 关 键 词： | p-Laplacian算子 Leggett-williams定理 不动点 锥 |
| 收稿时间： | 2009-08-19 |
Existence of three solutions to a class of singular boundary value problems |
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| JIANG Wei,HONG Zikang. Existence of three solutions to a class of singular boundary value problems[J]. Journal of Nanjing University of Information Science & Technology, 2009, 1(4): 382-384 |
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| Authors: | JIANG Wei HONG Zikang |
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| Affiliation: | 1 College of Math ＆ Physics,Nanjing University of Information Science ＆ Technology,Nanjing 210044) |
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| Abstract: | Using the Leggett-Williams theorem, this class of singular boundary value problems containing paper mainly deals with the existence of three solutions to a p-Laplacian operators, and sufficient conditions are established for the three solutions of the problem. The chief results show that, when a nonlinear singular term satisfies suitable conditions, there must be three solutions of the problem. |
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| Keywords: | p-Laplacian operator Leggett-Williams theorem fixed point cone |
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