Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 130, pp. 1-18.
Title: Weak solutions for a strongly-coupled nonlinear system
Authors: Osmundo A. Lima (Univ. Estadual da Paraiba, Brazil)
Aldo T. Louredo (Univ. Estadual da Paraiba, Brazil)
Alexandro O. Marinho (Univ. Federal da Paraiba, Brazil)
Abstract:
In this paper the authors study the existence of local weak
solutions of the strongly nonlinear system
$$\displaylines{
u''+\mathcal{A}u +f(u,v)u = h_1 \cr
v''+\mathcal{A}v +g(u,v)v = h_2
}$$
where $\mathcal{A}$ is the pseudo-Laplacian operator and $f$,
$g$, $h_1 $ and $h_2 $ are given functions.
Submitted March 3, 2006. Published October 16, 2006.
Math Subject Classifications: 35L85, 35L05, 35L20, 35L70, 49A29.
Key Words: Weak solutions; coupled system; monotonic operator.