Sabrina Caputo

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

Abstract We consider the following elliptic system $$\begin{aligned} -\Delta u_i=(|x|^{-\mu }*|u_i|^{4-\frac{\mu }{2}})|u_i|^{2-\frac{\mu }{2}}u_i+\sum _{j=1\, j\not =i}^2\beta u_iu_j^2\quad \hbox {in} \, \, {\mathbb {R}^4},\quad i=1,2. \end{aligned}$$ - Δ u i = ( | x | - μ ∗ | u...