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

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基金项目: * 国家自然科学基金

On the Existence and Uniqueness of Solutions for a Class of Variational Inequalities with Applications to the Signorini Problem in Mechanics

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.
- 变分不等式 /
- KKM映象 /
- Signorini问题
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.
- variational inequality /
- KKM mappings /
- Signorini problem

[1]	Aubin,J,Applied Functional Analysis,Wiley,New York(1977).
[2]	Shi Mau-hsiang and Kok-keong Tan,A further generalization of Ky Fan's minimax inequality and its applications,Studia Math.,LⅩⅩⅤⅡ(1984).
[3]	Baiocchi C.,and A.Capelo,Variational and Quasi-Variational Inequalities,Wiley,New York/London(1984).
[4]	Crank,T.,Free and Moving Boundary Problems,Oxford Univ.Press(1984).
[5]	Kikuchi,N.and J.T.Oden,Contact Problems in Elasticity,Soc.Indus.Appl.Math.Philadephia(1987).
[6]	Noor,M.Aslam.Finite element analysis of a class of contact,C.R.Math.Rep.Acad.Sci.,Canada,6(1984),249-275.
[7]	Noor,M.Aslam,Variational inequalities related with a Signorini problem,C.R.Math.Rep.Acad Sci.,Canada,7(1985),267-272.
[8]	Noor,M.Aslam,On a class of variational inequalities,J.Math,Anal.Appl.,128(1987),138-155.
[9]	Oden,J.and E.Pires.Contract problems in elastostaties with non-local friction law,TICOM/8Report 81-12,Univ.of Texas,Austin(1981).
[10]	Noor,M.A.and J.R.Whiteman,Error bounds for the element solutions of mildly nonlinearelliptic boundary value problems,Nunier.Math.,26(1976),107-116.

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