Segregated solutions for a critical elliptic system with a small interspecies repulsive force

Haixia Chen, Maria Medina, Angela Pistoia

We consider the elliptic system $$-\Delta u_i=u_i^3+\sum _{\genfrac{}{}{0ex}{}{j=1}{j\ne i}}^{q+1}{\beta }_{ij}{u}_i{u}_j^{2}in{\mathbb{R}}^4,i=1,\dots ,q+1.$$ when $\alpha :={\beta }_{ij}$ and $β:=β_{i(q+1…