| 增生映射的扰动理论对与广义(p,q)-Laplace算子相关的非线性椭圆系的应用 |
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| 引用本文： | 魏利,周海云.增生映射的扰动理论对与广义(p,q)-Laplace算子相关的非线性椭圆系的应用[J].数学研究及应用,2010,30(5):909-919. |
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| 作者姓名： | 魏利 周海云 |
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| 作者单位： | 河北经贸大学数学与统计学院, 河北 石家庄 050061;军械工程学院应用数学与力学研究所, 河北 石家庄 050003 |
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| 基金项目： | 国家自然科学基金(Grant No.10771050),河北省自然科学基金(Grant No.A2010001482),河北省教育厅科学研究计划项目(Grant No.2010125). |
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| 摘 要： | Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present some abstract results for the existence of the solutions of nonlinear Neumann elliptic systems which is related to the so-called generalized （p, q）-Laplacian in this paper. The systems discussed in this paper and the method used extend and complement some of the previous work.
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| 关 键 词： | accretive mapping generalized （p q）-Laplacian nonlinear elliptic systems. |
| 收稿时间： | 2008/9/19 0:00:00 |
| 修稿时间： | 2009/5/14 0:00:00 |
The Applications of Perturbations on Accretive Mappings to Nonlinear Elliptic Systems Related to Generalized (p,q)-Laplacian |
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| Li WEI and Hai Yun ZHOU.The Applications of Perturbations on Accretive Mappings to Nonlinear Elliptic Systems Related to Generalized (p,q)-Laplacian[J].Journal of Mathematical Research with Applications,2010,30(5):909-919. |
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| Authors: | Li WEI and Hai Yun ZHOU |
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| 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 |
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| Abstract: | Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present some abstract results for the existence of the solutions of nonlinear Neumann elliptic systems which is related to the so-called generalized $(p,q)$-Laplacian in this paper. The systems discussed in this paper and the method used extend and complement some of the previous work. |
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| Keywords: | accretive mapping generalized $(p q)$-Laplacian nonlinear elliptic systems |
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