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一类型变分不等式解的存在性唯一性问题及其对力学中的Signorini问题的应用
引用本文:张石生,向淑文.一类型变分不等式解的存在性唯一性问题及其对力学中的Signorini问题的应用[J].应用数学和力学,1991,12(5):401-407.
作者姓名:张石生  向淑文
作者单位:1.四川大学数学系;
摘    要:在本文中,我们研究了一类变分不等式解的存在性和唯一性问题,作为应用,讨论了力学中的著名的Signorini问题,改进了这一问题有解的条件.

关 键 词:变分不等式    KKM映象    Signorini问题
收稿时间:1990-02-24

On the Existence and Uniqueness of Solutions for a Class of Variational Inequalities with Applications to the Signorini Problem in Mechanics
Zhang vShi-sheng.On the Existence and Uniqueness of Solutions for a Class of Variational Inequalities with Applications to the Signorini Problem in Mechanics[J].Applied Mathematics and Mechanics,1991,12(5):401-407.
Authors:Zhang vShi-sheng
Institution:1.Sichuan University, Chengdu;2.Guizhou Normal University, Guiyang
Abstract:In this paper, we introduce a new unified and general class of variational inequalities,and show some existence and uniqueness results of solutions for this kind of variational inequalities. As an application, we utilize the results presented in this paper to study the Signorini problem in mechanics.
Keywords:Variational inequality  KKM mapping  signorini problem  
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