| 闭凸集上的一类非线性半变分不等式解的存在性 |
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| 引用本文： | 常高,沈自飞.闭凸集上的一类非线性半变分不等式解的存在性[J].应用泛函分析学报,2011,13(4):392-397. |
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| 作者姓名： | 常高 沈自飞 |
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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： | 国家自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 考虑一类定义在闭凸集上的非线性半变分不等式问题，通过运用闭凸集上的临界点理论、Clarke次微分性质以及非光滑紧性条件等，得到了这类半变分不等式解的存在性．
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| 关 键 词： | 非线性半变分不等式 闭凸集 非光滑C-条件 局部Lipschitz函数 |
Existence of Solutions for a Class of Nonlinear Hemivariational Inequalities on Closed Convex Sets |
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| CHANG Gao,SHEN Zifei.Existence of Solutions for a Class of Nonlinear Hemivariational Inequalities on Closed Convex Sets[J].Acta Analysis Functionalis Applicata,2011,13(4):392-397. |
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| Authors: | CHANG Gao SHEN Zifei |
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| Institution: | CHANG Gao,SHEN Zifei 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 nonlinear hemivariational inequalities defined on closed convex sets,by using critical point theory on closed convex sets,the properties of Clarke subdifferential and nonsmooth compactness condition,the existence of solutions for the problem is obtained. |
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| Keywords: | nonlinear hemivariational inequality closed convex sets nonsmooth C-condition locally Lipschitz |
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