On the existence of bounded solutions for a nonlinear elliptic system

Ricardo G. Duran, Marcela Sanmartino, Marisa Toschi

This work deals with the system $(-\Delta {)}^{m}u=a(x)v^p$, $(-\Delta {)}^{m}v=b(x)u^q$ with Dirichlet boundary condition in a domain $Ω\subset\RR^n$, where $\Omega$ is a ball if $n\ge 3$ or a smooth…