Stable solitary waves with prescribed $L^2$-mass for the cubic Schrödinger system with trapping potentials

Benedetta Noris, Hugo Tavares, Gianmaria Verzini

For the cubic Schrödinger system with trapping potentials in ${\mathbb{R}}^N$, $N\le 3$, or in bounded domains, we investigate the existence and the orbital stability of standing wav…