Weak solutions for a strongly-coupled nonlinear system

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.

Keywords

• Weak solutions
• coupled system
• monotonic operator.