| 含有p-Laplacian算子的非齐次边值问题正解的存在性 |
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| 引用本文： | 董士杰,段立江.含有p-Laplacian算子的非齐次边值问题正解的存在性[J].军械工程学院学报,2009,21(1):76-78. |
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| 作者姓名： | 董士杰 段立江 |
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| 作者单位： | 军械工程学院基础部; |
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| 基金项目： | 国家自然科学基金资助项目(10671209) |
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| 摘 要： | 研究非齐次边界条件下，含有p-Laplacian算子的微分方程的可解性，在Banach空间中应用Krasnoselskii不动点定理，得到了边值问题正解存在性结果。
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| 关 键 词： | 非齐次边值问题 p-Laplacian算子 Krasnoselskii不动点定理 正解 |
Existence of Positive Solutions for Nonhomogeneous Boundary Value Problem with p-Laplacian Operator |
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| DONG Shi-jie,DUAN Li-jiang.Existence of Positive Solutions for Nonhomogeneous Boundary Value Problem with p-Laplacian Operator[J].Journal of Ordnance Engineering College,2009,21(1):76-78. |
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| Authors: | DONG Shi-jie DUAN Li-jiang |
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| Institution: | Department of Basic Courses;Ordnance Engineering College;Shijiazhuang 050003;China |
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| Abstract: | This paper is concerned with the solvability of a nonhomogeneous boundary value problem with p-Laplacian operator.By using Krasnoselskii's fixed point theorem in Banach space,the existence result of positive solution for the boundary value problem is obtained. |
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| Keywords: | nonhomogeneous boundary value problem p-Laplacian operator Krasnoselskii's fixed point theorem positive solution |
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