| 一类拟线性椭圆变分不等式解的存在性(英文) |
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| 引用本文： | 常高,沈自飞,程小力.一类拟线性椭圆变分不等式解的存在性(英文)[J].应用泛函分析学报,2010,12(3):210-215. |
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| 作者姓名： | 常高 沈自飞 程小力 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,金华,321004 |
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| 基金项目： | National Nature Science Foundation of China（10771141）; Natural Science Foundation of Zhejiang Province（Y7080008） |
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| 摘 要： | 考虑了一类p-Laplacian拟线性椭圆变分不等式问题,通过运用优化理论中的补偿法和Clark次微分性质,研究了这类椭圆变分不等式解的存在性.
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| 关 键 词： | 变分不等式 p-Laplacian算子 补偿法 第一特征值 局部Lipschitz函数 |
Existence of Solutions for a Class of Quasilinear Elliptic Variational Inequality |
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| CHANG Gao,SHEN Zifei,CHENG Xiaoli.Existence of Solutions for a Class of Quasilinear Elliptic Variational Inequality[J].Acta Analysis Functionalis Applicata,2010,12(3):210-215. |
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| Authors: | CHANG Gao SHEN Zifei CHENG Xiaoli |
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| Institution: | (College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua 321004,China ) |
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| Abstract: | In this paper,we consider a class of quasilinear elliptic variational inequality involvingp-Laplacian,by using the penalty method from optimization theory and properties of Clark subdifferential,the existence of solutions for the problem is obtained. |
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| Keywords: | variational inequality p-Laplacian penalty method the first eigenvalue locally lipschitz functional |
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