Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentials

Yujin Guo, Zhi-Qiang Wang, Xiaoyu Zeng +1

We are interested in the attractive Gross-Pitaevskii (GP) equation in ${\mathbb{R}}^2$, where the external potential $V(x)$ vanishes on $m$ disjoint bounded domains $Ω_i\subset \R^2\ (i=1,2,…