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

• Articles • Previous Articles     Next Articles

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

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

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals