Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 22, pp. 1-18.

Title: Existence of solutions for a variational unilateral system 
   
Authors: Marcondes R. Clark (Federal Univ. of Piaui, Brazil)
         Osmundo A. Lima (State Univ. of Paraiba, Brazil)

Abstract: 
 In this work the authors study the existence of weak solutions of the
 nonlinear unilateral mixed problem associated to the inequalities
 $$ \displaylines{
 u_{tt}-M(| \nabla u| ^{2})\Delta u+\theta \geq f, \cr
 \theta_t-\Delta \theta +u_t\geq g ,}
 $$
 where $f$, $g$, $M$ are given real-valued functions with $M$ positive.
 
Submitted November 17, 2000. Published February 21, 2002.
Math Subject Classifications: 35L85, 49A29.
Key Words: weak solutions; variational unilateral nonlinear problem;
           Galerkin method;  penalization method.