| 三阶p-Laplacian奇异边值问题正解的多重性 |
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| 引用本文： | 田元生.三阶p-Laplacian奇异边值问题正解的多重性[J].湘南学院学报,2010,31(2). |
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| 作者姓名： | 田元生 |
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| 作者单位： | 湘南学院,数学系,湖南,郴州,423000 |
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| 基金项目： | 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项目 |
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| 摘 要： | 应用一个凸锥上的不动点定理,讨论了一类三阶p-Laplacian奇异边值问题正解的多重性,得到了这类边值问题存在多个正解的充分条件.最后,给出了一个具体的例子.
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| 关 键 词： | p-Laplacian算子 三阶奇异边值问题 正解 |
The Multiplicity of Singular Boundary Value Problem for a Class of Third Order P-Laplacian Equations |
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| TIAN Yuan-sheng.The Multiplicity of Singular Boundary Value Problem for a Class of Third Order P-Laplacian Equations[J].Journal of Xiangnan University,2010,31(2). |
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| Authors: | TIAN Yuan-sheng |
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| Abstract: | In this paper,by using a fixed point theorem in the convex cone,we consider the multiplicity of singular boundary value problem for a class of third order p-Laplacian equations,some multiplicity results of the positive solutions are obtained.An example is that also inclued to illustrate the importance of the results obtained. |
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| Keywords: | p-Laplacian opertor third-order singular boundary value porblem positive solution |
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