Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation

Yuxia Guo, Yichen Hu, Shaolong Peng

In this paper, we consider the following elliptic system \begin{equation*} \begin{cases} -Δu = |v|^{p-1}v +ε(αu + β_1 v), &\hbox{ in }Ω, \\-Δv = |u|^{q-1}u+ε(β_2 u +αv), &\hbox{ in…