| 二阶p-Laplacian方程多点边值问题正解的存在性与拟线性迭代 |
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| 引用本文： | 仓曰华,肖建中,刘勤凤.二阶p-Laplacian方程多点边值问题正解的存在性与拟线性迭代[J].南京气象学院学报,2010(6):503-509. |
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| 作者姓名： | 仓曰华 肖建中 刘勤凤 |
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| 作者单位： | 南京信息工程大学数理学院, 南京 210044;南京信息工程大学数理学院, 南京 210044;南京信息工程大学数理学院, 南京 210044 |
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| 基金项目： | 国家自然科学基金(10671094) |
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| 摘 要： | 利用上下解构造辅助方程,结合Leray-Schauder度理论研究二阶p-Laplacian方程多点边值问题正解的存在性,并用单调迭代技巧与拟线性化方法讨论了正解迭代序列的收敛性.
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| 关 键 词： | p-Laplacian方程 拟线性化 上下解 单调迭代 Leray-Schauder度 |
| 收稿时间： | 2010/2/6 0:00:00 |
Existence and quasilinear iteration of positive solutions for second order multi-point boundary value problems with p-Laplacian operator |
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| CANG Yuehu,XIAO Jianzhong and LIU Qinfeng.Existence and quasilinear iteration of positive solutions for second order multi-point boundary value problems with p-Laplacian operator[J].Journal of Nanjing Institute of Meteorology,2010(6):503-509. |
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| Authors: | CANG Yuehu XIAO Jianzhong and LIU Qinfeng |
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| Institution: | School of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044;School of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044;School of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044 |
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| Abstract: | In this paper,we construct the auxiliary equation with the method of upper and lower solutions,combined with Leray-Schauder degree theory,to obtain the existence of positive solutions for second order multi-point boundary value problems with p-Laplacian operator,and discuss the convergence of iterative sequence by monotone iterative techniques and the quasilinear method. |
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| Keywords: | p-Laplacianequations quasilinearization upperandlowersolutions monotoneiteration Leray-Schauderdegree |
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