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| 与 p-Laplacian 算子相关的非线性Neumann边值问题解的存在性 | |
| 引用本文： | 魏利,周海云,Ravi P. AGARWAL.与 p-Laplacian 算子相关的非线性Neumann边值问题解的存在性[J].数学研究及应用,2010,30(1):99-109. |
| 作者姓名： | 魏利 周海云 Ravi P. AGARWAL |
| 作者单位： | 河北经贸大学数学与统计学学院, 河北 石家庄 050016;军械工程学院应用数学与力学研究所, 河北 石家庄 050003;Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, U. S. A |
| 基金项目： | 国家自然科学基金(Grant No.10771050);河北省教育厅科学研究计划项目(Grant No.2009115). |
| 摘 要： | Using perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present the abstract results on the existence of solutions of one kind nonlinear Neumann boundary value problems related to p-Laplacian operator. The equation discussed in this paper and the method used here extend and complement some of the previous work. |
| 关 键 词： | Neumann边值问题 非线性 边界问题 Laplacian 价值 摄动理论 增生映射 子问题 |
| 收稿时间： | 2007/12/12 0:00:00 |
| 修稿时间： | 2008/4/16 0:00:00 |
Existence of Solutions for Nonlinear Neumann Boundary Value Problems |
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| Li WEI,Hai Yun ZHOU and Ravi P. AGARWAL.Existence of Solutions for Nonlinear Neumann Boundary Value Problems[J].Journal of Mathematical Research with Applications,2010,30(1):99-109. | |
| Authors: | Li WEI Hai Yun ZHOU and Ravi P AGARWAL |
| Institution: | 1. School of Mathematics and Statistics,Hebei University of Economics and Business,Hebei 050061,P.R.China 2. Institute of Applied Mathematics and Mechanics,Ordnance Engineering College,Hebei 050003,P.R.China 3. Department of Mathematical Sciences,Florida Institute of Technology,Melbourne,FL 32901,U.S.A |
| Abstract: | Using perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present the abstract results on the existence of solutions of one kind nonlinear Neumann boundary value problems related to $p$-Laplacian operator. The equation discussed in this paper and the method used here extend and complement some of the previous work. |
| Keywords: | maximal monotone operator accretive mapping hemi--continuous mapping |
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