Electron. J. Diff. Eqns., Vol. 2006(2006), No. 130, pp. 1-18.

Weak solutions for a strongly-coupled nonlinear system

Osmundo A. Lima, Aldo T. Louredo, Alexandro O. Marinho

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.

Show me the PDF file (266K), TEX file, and other files for this article.

Osmundo A. Lima
Universidade Estadual da Paraíba, DME
Campina Grande - PB, Brazil
email: osmundo@hs24.com.br
Aldo T. Lourêdo
Universidade Estadual da Paraíba, DME
Campina Grande - PB, Brazil
email: aldotl@bol.com.br
Alexandro O. Marinho
Universidade Federal da Paraíba, DM
João Pessoa - PB, Brazil
email: nagasak@ig.com.br

Return to the EJDE web page