Existence of solutions for a variational unilateral system
Electronic journal of differential equations, Tome 2002 (2002)
In this work the authors study the existence of weak solutions of the nonlinear unilateral mixed problem associated to the inequalities
where f, g, m are given real-valued functions with M positive.
| $ \displaylines{ u_{tt}-M(| \nabla u| ^{2})\Delta u+\theta \geq f, \cr \theta_t-\Delta \theta +u_t\geq g ,} $ |
Classification :
35L85, 49A29
Keywords: weak solutions, variational unilateral nonlinear problem, Galerkin method, penalization method
Keywords: weak solutions, variational unilateral nonlinear problem, Galerkin method, penalization method
@article{EJDE_2002__2002__a69,
author = {Clark, Marcondes R. and Lima, Osmundo A.},
title = {Existence of solutions for a variational unilateral system},
journal = {Electronic journal of differential equations},
year = {2002},
volume = {2002},
zbl = {0991.35054},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a69/}
}
Clark, Marcondes R.; Lima, Osmundo A. Existence of solutions for a variational unilateral system. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a69/