| 与(p,q)-Laplace算子相关的非线性Dirichlet椭圆系解的存在性及其迭代构造(英文) |
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| 引用本文： | 魏利,刘元星,Ravi P.Agarwal. 与(p,q)-Laplace算子相关的非线性Dirichlet椭圆系解的存在性及其迭代构造(英文)[J]. 应用数学, 2012, 25(2): 246-252 |
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| 作者姓名： | 魏利 刘元星 Ravi P.Agarwal |
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| 作者单位： | 1. 河北经贸大学数学与统计学学院,河北石家庄,050061
2. Department of Mathematical Sciences Florida Institute of Technology,Melbourne,FL 32901 U. S. A. |
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| 基金项目： | The National Natural Science Foundation of China，The Natural Science Foundation of Hebei Province，The Project of Science and Research of Hebei Education Department(the second round in 2010) |
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| 摘 要： | 利用变分不等式解的存在性的结论,研究了一类与(p,q)-Laplace算子相关的非线性Dirichlet椭圆系解的存在性的抽象结论.然后,利用极大单调算子零点的结论,构造了一种迭代格式强收敛到上述椭圆系的解.本文所研究的椭圆系及所用方法是对以往一些工作的推广和补充.
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| 关 键 词： | 极大单调算子 伪单调算子 (p,q)-Laplace算子 零点 非线性 Dirichlet椭圆系 |
Existence and Iterative Construction of Solutions for Nonlinear Dirichlet Elliptic Systems Involving ( p, q ) -Laplacian |
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| WEI Li , LIU Yuanxing , Ravi P.Agarwal. Existence and Iterative Construction of Solutions for Nonlinear Dirichlet Elliptic Systems Involving ( p, q ) -Laplacian[J]. Mathematica Applicata, 2012, 25(2): 246-252 |
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| Authors: | WEI Li LIU Yuanxing Ravi P.Agarwal |
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| Affiliation: | WEI Li1,LIU Yuanxing1,Ravi P.Agarwal2(1.School of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,China;2.Department of Mathematical Sciences,Florida Institute of Technology,Melbourne,FL 32901,U.S.A.) |
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| Abstract: | By using the result on the existence of solutions for variational inequalities,we present some abstract results for the existence of the solutions of nonlinear Dirichlet elliptic systems involving(p,q)-Laplacian.By using a result on zero points of maximal monotone operators,we construct an iterative scheme to be convergent strongly to the solutions of the above systems.The systems discussed in this paper and the method used extend and complement some of the previous work. |
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| Keywords: | Maximal monotone operator Pseudo-monotone operator (p,q) -Laplacian Zero point Nonlinear Dirichlet elliptic system |
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