Limit Behavior of Mass Critical Hartree Minimization Problems with Steep Potential Wells

Yujin Guo, Yong Luo, Zhi-Qiang Wang

We consider minimizers of the following mass critical Hartree minimization problem: \[ e_λ(N):=\underset{\{u\in H^1(R^d),\,\|u\|^2_2=N\}}{\inf} E_λ(u),\,\ d\ge 3, \] where the Hart…