Existence of Boundary Layers for the supercritical Lane-Emden Systems

Qing Guo, Junyuan Liu, Shuangjie Peng

We consider the following supercritical problem for the Lane-Emden system: \begin{equation}\label{eq00} \begin{cases} -Δu_1=|u_2|^{p-1}u_2\ &in\ D,\\ -Δu_2=|u_1|^{q-1}u_1 \ &in\ D,…