A New Approach to Inspect Weakly Coupled Logistic Systems and their Asymptotic Behavior

Haoyu Li, Liliane Maia, Mayra Soares

We consider the weakly coupled elliptic system of logistic type, \begin{equation}\label{LS} \begin{cases} -Δu &=λ_1 u- |u|^{p-2}u+ β|u|^{\frac{p}{2}-2}u |v|{^{\frac{p}{2}-1}}v\mbox…