Weak solutions for a strongly-coupled nonlinear system

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 give...

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Bibliographic Details
Main Authors: Osmundo A. Lima, Aldo T. Louredo, Alexandro O. Marinho
Format: Article
Language:English
Published: Texas State University 2006-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/130/abstr.thml