4 papers
Ground States of Attractive Bose Gases in Rotating Anharmonic Traps
Yujin Guo, Yan Li, Yong Luo
This paper is concerned with ground states of attractive Bose gases confined in an anharmonic trap rotating at the velocity , where denotes the tr…
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 () or attractive () interactions in a trap rotating at the velocity . It is…
The Nonexistence of Vortices for Rotating Bose-Einstein Condensates with Attractive Interactions
Yujin Guo, Yong Luo, Wen Yang
This article is devoted to studying the model of two-dimensional attractive Bose-Einstein condensates in a trap rotating at the velocity . This model can be described by…
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…