| 三阶p-Laplacian非齐次边值问题多重正解的存在性 |
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| 引用本文： | 田元生,刘春根.三阶p-Laplacian非齐次边值问题多重正解的存在性[J].数学进展,2011(1). |
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| 作者姓名： | 田元生 刘春根 |
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| 作者单位： | 湘南学院数学系;南开大学数学学院; |
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| 基金项目： | 湖南省教育厅科研项目(No.08C826); 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; 国家自然科学基金重点项目(No.10531050); 国家自然科学基金创新团队项目资助; 科技部973项目(No.2006CB805903) |
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| 摘 要： | 本文应用凸锥上的一个不动点定理,讨论了一类含p-Laplacian算子的三阶非齐次边值问题多重正解的存在性,得到了这类边值问题至少存在三个正解的充分条件,并给出了一个实例.
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| 关 键 词： | p-Laplacian算子 非齐次边值问题 不动点定理 正解 |
Multiple Positive Solutions of the Nonhomogeneous Boundary Value Problem for a Class of Third-order p-Laplacian Equations |
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| TIAN Yuansheng,LIU Chungen.Multiple Positive Solutions of the Nonhomogeneous Boundary Value Problem for a Class of Third-order p-Laplacian Equations[J].Advances in Mathematics,2011(1). |
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| Authors: | TIAN Yuansheng LIU Chungen |
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| Institution: | TIAN Yuansheng,LIU Chungen (1.Department of Mathematics,Xiangnan University,Chenzhou,Hunan,432000,P.R.China,2.School of Mathematics,Nankai University,Tianjin,300071,P.R.China) |
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| Abstract: | In this paper,by using a fixed point theorem on convex cone,we consider the nonhomogeneous boundary value problem for a class of third order p-Laplace equations, the multiplicity result of three positive solutions are obtained,an example is that included to illustrate the importance of results obtained. |
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| Keywords: | p-Laplacian operator nonhomogeneous boundary value problem fixed point theorem positive solution |
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