| 二阶p-Laplacian方程组奇异边值问题解的存在性 |
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| 引用本文： | 胡卫敏,蒋达清. 二阶p-Laplacian方程组奇异边值问题解的存在性[J]. 吉林大学学报(理学版), 2012, 50(5): 835-841 |
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| 作者姓名： | 胡卫敏 蒋达清 |
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| 作者单位： | 1. 伊犁师范学院 ,数学与统计学院应用数学研究所, 新疆 伊宁 835000;2. 东北师范大学 数学与统计学院, 长春 130024 |
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| 基金项目： | 新疆普通高校重点培育学科项目基金(批准号:XJZDXK2011004);国家自然科学基金(批准号:10971021) |
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| 摘 要： | 利用Schauder不动点原理和非线性Leray-Schauder抉择定理建立了二阶p-Laplacian方程组奇异边值问题解的存在性和有界性.
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| 关 键 词： | 存在性 奇异边值问题 Schauder不动点原理 Leray-Schauder抉择定理 |
| 收稿时间： | 2011-12-19 |
Existence of Solutions for Singular Boundary Value Problems Second-Order p-Laplacian |
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| HU Wei-min,JIANG Da-qing. Existence of Solutions for Singular Boundary Value Problems Second-Order p-Laplacian[J]. Journal of Jilin University: Sci Ed, 2012, 50(5): 835-841 |
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| Authors: | HU Wei-min JIANG Da-qing |
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| Affiliation: | 1. |Institute of Applied Mathematics, |School of Mathematics and Statistics, |Yili Normal University,Yining 835000, Xinjiang Uygur Autonomous Region, China|2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China |
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| Abstract: | The authors established the existence and boundness of the solutions for singular boundary value problems of second-order p-Laplacian equations by means of Schauder fixed point theorem and Leray-Schauder alternative theorem. |
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| Keywords: | existence singular boundary value problems Schauder fixed point theorem Leray-Schauder alternative theorem |
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