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.