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

Qing Guo, Chongyang Tian

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