Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 57, pp. 1-17.

Title: Existence and comparison results for quasilinear evolution
       hemivariational inequalities

Authors: Siegfried Carl (Martin-Luther  Univ., Halle, Germany)
         Vy K. Le (Univ. of Missouri, Rolla, MO, USA)
	 Dumitru Motreanu (Univ. de Perpignan, France)

Abstract: 
 We generalize the sub-supersolution method known for weak
 solutions of single and multivalued nonlinear parabolic problems
 to quasilinear evolution hemivariational inequalities. To this
 end we first introduce our basic notion of sub- and
 supersolutions on the basis of which we then prove existence,
 comparison, compactness and extremality results for the
 hemivariational inequalities under considerations.
   
Submitted November 17, 2003. Published April 13, 2004.
Math Subject Classifications: 35A15, 35K85, 49J40.
Key Words: Evolution hemivariational inequality; quasilinear; 
           subsolution; supersolution; extremal solution; 
	   existence; comparison; compactness.