Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 19 ›› Issue (2): 225-230.

• 论文 • 上一篇    下一篇

ON QUASILINEAR ELLIPTIC HEMIVARIATIONAL INEQUALITIES

刘振海   

  1. Department of Mathematics, Changsha University of Electric Power, Hunan 410077, P. R. China
  • 收稿日期:1996-09-02 修回日期:1997-01-18 出版日期:1999-02-18 发布日期:1999-02-18

ON QUASILINEAR ELLIPTIC HEMIVARIATIONAL INEQUALITIES

Liu zhenhai   

  1. Department of Mathematics, Changsha University of Electric Power, Hunan 410077, P. R. China
  • Received:1996-09-02 Revised:1997-01-18 Online:1999-02-18 Published:1999-02-18

摘要: In the present paper, quasilinear elliptic hemivariational inequalities as a generalization to nonconvex functionals of the elliptic variational inequalities are studied.This extension is strongy 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.

关键词: hemivariational inequalities, elliptic problems, existence results

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 strongy 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.

Key words: hemivariational inequalities, elliptic problems, existence results

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