| 偏差变元的二阶n-维p-Laplacian方程调和解的存在性 |
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| 引用本文： | 张建军,刘文斌,张慧星,倪晋波.偏差变元的二阶n-维p-Laplacian方程调和解的存在性[J].数学学报,2007,50(5):1161-117. |
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| 作者姓名： | 张建军 刘文斌 张慧星 倪晋波 |
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| 作者单位： | 中国矿业大学理学院，中国矿业大学理学院，中国矿业大学理学院，中国矿业大学理学院 徐州 221008，徐州 221008，徐州 221008，徐州 221008 |
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| 基金项目： | 中国矿业大学青年科研基金(2006A042，2005A041) |
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| 摘 要： | 本文研究了一类具偏差变元的二阶n-维p-Laplacian方程调和解的存在性,在对阻尼项不作限制的前提下,利用拓扑度理论得到了存在调和解的新条件,改进了一些已有的结果.
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| 关 键 词： | p-Laplaucian方程 调和解 拓扑度 |
| 文章编号： | 0583-1431（2007）05-1161-10 |
| 收稿时间： | 2005-11-22 |
| 修稿时间： | 2005-11-24 |
The Existence of Harmonic Solutions for Second Order n-Dimensional p-Laplacian Equations with a Deviating Argument |
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| Jian Jun ZHANG, Wen Bin LIU, Hui Xing ZHANG, Jin Bo NI.The Existence of Harmonic Solutions for Second Order n-Dimensional p-Laplacian Equations with a Deviating Argument[J].Acta Mathematica Sinica,2007,50(5):1161-117. |
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| Authors: | Jian Jun ZHANG Wen Bin LIU Hui Xing ZHANG Jin Bo NI |
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| Institution: | Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, P. R. China |
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| Abstract: | In this paper,the existence of harmonic solutions for second order n- Dimensional p-Laplacian equations with a deviating argument is studied by using the topological degree theory.Sufficient conditions to guarantee the existence of harmonic solutions for the equation are obtained under having no restriction on the damping forces and some known results are improved. |
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| Keywords: | p-Laplacian equations harmonic solutions topological degree |
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