Normalized vector solutions of nonlinear Schrödinger systems

Xiaomeng Huang, Angela Pistoia, Christophe Troestler +1

Given $\mu >0$ we look for solutions $\lambda \in \mathbb{R}$ and $v_1,\dots ,v_k\in H^1({\mathbb{R}}^N)$ of the system \[ \begin{cases} \displaystyle -Δv_i+ λv_i+V_i(x)v_i = \sum_{\substack{j=…