| 一维p-拉普拉斯四点边值问题拟对称正解的多重性 |
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| 引用本文： | 田元生,刘春根.一维p-拉普拉斯四点边值问题拟对称正解的多重性[J].系统科学与数学,2010,30(3):349-357. |
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| 作者姓名： | 田元生 刘春根 |
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| 作者单位： | 1. 湘南学院数学系,郴州,423000
2. 南开大学数学学院,天津,300071 |
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| 基金项目： | 国家自然科学基金莺点项目，国家自然科学基金创新团队项目资助，湖南省教育厅科研项目，湖南省重点建设学科项目，湖南省高校科技创新团队计划资助，科技部973 |
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| 摘 要： | 应用凸锥上的一个不动点定理,讨论了一类一维p-拉普拉斯四点边值问题在非线性项f依赖于未知函数的一阶导数的情况下拟对称正解的多重性,得到了这类边值问题存在多个拟对称正解的充分条件.
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| 关 键 词： | $p$-拉普拉斯算子 四点边值问题 拟对称正解 锥. |
| 收稿时间： | 2008-9-13 |
MULTIPLICITY OF POSITIVE PSEUDO-SYMMETRIC SOLUTIONS FOR A FOUR-POINT BOUNDARY VELUE PROBLEM WITH A ONE-DIMENSIONAL p-LAPLACIAN |
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| TIAN Yuansheng,LIU Chungen.MULTIPLICITY OF POSITIVE PSEUDO-SYMMETRIC SOLUTIONS FOR A FOUR-POINT BOUNDARY VELUE PROBLEM WITH A ONE-DIMENSIONAL p-LAPLACIAN[J].Journal of Systems Science and Mathematical Sciences,2010,30(3):349-357. |
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| Authors: | TIAN Yuansheng LIU Chungen |
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| Institution: | (1)Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000;(2)School of Mathematics, Nankai University, Tianjin 300071 |
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| Abstract: | In this paper, by using a fixed point theorem on convex cone, the four-point boundary value problem is considered for $p$-Laplace equations with the nonlinear term depending on the first order derivative, some multiplicity results of the positive pseudo-symmetric solutions are obtained. |
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| Keywords: | p-Laplacian four-point boundary value porblem positive pseudo-symmetric solution cone |
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