Asymptotic Sphere Concentration at Infinity for NLS with L^2 Constraint

Qing Guo, Chongyang Tian

We consider the nonlinear Schrödinger equation$$-\hat{I}”u+V(x)u=a{u}^p+\hat{I}¼u\text{in }{\mathbb{R}}^n,{\int }_{{\mathbb{R}}^n}{u}^2=1,$$modeling attractive Bose--Einstein…