拟线性椭圆型H-半变分不等式

刘振海

拟线性椭圆型H-半变分不等式

刘振海

长沙电力学院数学系, 湖南410077

基金项目: 博士后基金;留学归国人员基金;电力部新星基金

详细信息

作者简介:
刘振海(1958~ ),男,教授,匈牙利科学院博士

中图分类号: O175.25
计量
- 文章访问数: 2270
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- 被引次数: 0
出版历程
- 收稿日期: 1996-09-02
- 修回日期: 1997-01-18
- 刊出日期: 1999-02-15

On Quasilinear Elliptic Hemivariational Inequalities

Liu Zhenhai

Department of Mathematics, Changsha University of Electric Power, Hunan 410077, P R China

摘要

摘要: 本文研究一类拟线性椭圆型H-半变分不等式,即研究具有非凸、非光滑泛函的椭圆型不等式。这类问题的研究来自力学。利用Clarke广义梯度和伪单调算子理论,我们证明了拟线性椭圆型H-半变分不等式解的存在性。
- H-半变分不等式 /
- 椭圆型问题 /
- 存在性结果
Abstract: In the present paper,quasilinear elliptic hemivariational inequalities as a generalization to nonconvex functionals of the elliptic variational inequalities are studied.This extension is strongly motivated by various problems in mechanics.By using the notion of the generalized gradient of Clarke and the theory of pseudomonotone operators,the existence of solutions is proved.
- hemivariational inequalities /
- elliptic problems /
- existence results

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参考文献(12)

[1]	张石生.变分不等式和相补问题理论及应用[M].上海:上海科技出版社,1991
[2]	Zhang Congjun, Zhang Shisheng. On recent developments and some open questions in the study of Browder-Hartman-Stampaccia variational inequality[J].J Math Res Exposition,1995,15(2):313～317
[3]	Panagiotopoulos P D. Inequality problems in mechanics and applications[A].In: Convex and Nonconvex Energy Functions. Basel: Birkhauser,1985,10～25
[4]	Hlavacek J, Haslinger J, Necas J, Lovisek J. Solution of Variational Inequalities in Mechanics[M].New York:Springer,1988
[5]	Panagiotopoulos P D. Hemivariational Inequalities, Applications in Mechanics and Engineering[M].Berlin:Springer-Verlag,1993
[6]	Panagiotopoulos P D. Coercive and semicoercive hemivariational inequalities[J].Nonlinear Analysis,1991,16(2):209～231
[7]	Panagiotopoulos P D. Hemivariational inequality and Fan-variational inequality, new applications and results[J].Atti Sem Mat Fis Univ Modena,1995,43(1):159～191
[8]	Naniewicz Z. On the existence of solutions to the continuum model of delamination[J].Nonlinear Analysis,1993,20(4):481～507
[9]	Clarke F H. Optimization and Nonsmooth Analysis[M].New York: Wiley,1983
[10]	张恭庆.临界点理论及其应用[M].上海:上海科技出版社,1986
[11]	Mustonen V. Mappings of monotone type: Theory and applications[A].Proceedings of the International Spring School: Nonlinear Analysis, Function Spaces and Applications,Vol.4,Teubner zur Mathematik, Band,1990,119(1):104～126
[12]	Browder F E, Hess P. Nonlinear mappings of monotone type in Banach spaces[J].J Funct Anal,1972,11(2):251～294