Liu Zhenhai. On Quasilinear Elliptic Hemivariational Inequalities[J]. Applied Mathematics and Mechanics, 1999, 20(2): 211-216.
Citation: Liu Zhenhai. On Quasilinear Elliptic Hemivariational Inequalities[J]. Applied Mathematics and Mechanics, 1999, 20(2): 211-216.

On Quasilinear Elliptic Hemivariational Inequalities

  • Received Date: 1996-09-02
  • Rev Recd Date: 1997-01-18
  • Publish Date: 1999-02-15
  • 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.
  • loading
  • [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
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2263) PDF downloads(772) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return