| 一维p-Laplacian算子型奇异边值问题可数多正解的存在性 |
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| 引用本文： | 姜燕君 张才仙 胡凤珠. 一维p-Laplacian算子型奇异边值问题可数多正解的存在性[J]. 烟台师范学院学报(自然科学版), 2006, 22(4): 279-282 |
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| 作者姓名： | 姜燕君 张才仙 胡凤珠 |
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| 作者单位： | 鲁东大学数学与信息科学学院,山东烟台264025 |
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| 摘 要： | 讨论了一类p-Laplaeian型算子的奇异边值问题正解的存在性．通过使用不动点指数定理，得到了这类边值问题可数多正解存在的充分条件．
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| 关 键 词： | p-Laplacian算子 不动点指数 锥 |
| 文章编号： | 1673-8020（2006）04-0279-04 |
| 收稿时间： | 2005-12-20 |
The Existence of Countably Many Positive Solutions for One-Dimensional p-Laplacian Operator |
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| JIANG Yan-jun,ZHANG Cai-xian, HU Feng-zhu. The Existence of Countably Many Positive Solutions for One-Dimensional p-Laplacian Operator[J]. Yantai Teachers University journal(Natural Science Edition), 2006, 22(4): 279-282 |
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| Authors: | JIANG Yan-jun ZHANG Cai-xian HU Feng-zhu |
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| Abstract: | The existence of positive solutions to a singular boundary value problem for a kind of p- Laplacian type operator is discussed. According to the fixed-point index theory, the sufficient conditions that this kind of boundary value problem has countably many positive solutions are obtained. |
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| Keywords: | p-Laplacian fixed point index cone |
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