Boundary geometry and concentration points for attractive Bose-Einstein condensates with a ring-shaped potential

Shubin Yu, Chun-Lei Tang, Ziheng Zhang

In this paper, we study the ground states of attractive Bose-Einstein condensates in a bounded domain $\Omega \subset {\mathbb{R}}^2$ under the ring-shaped trapping potential $$ V(x)=(|x|-1…