Existence and Asymptotic Behavior of Ground States for Rotating Bose-Einstein Condensates

Yujin Guo, Yong Luo, Shuangjie Peng

We study ground states of two-dimensional Bose-Einstein condensates with repulsive ($a>0$) or attractive ($a<0$) interactions in a trap $V(x)$ rotating at the velocity $\Omega$. It is…