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math.AP2021
Concentration Behavior of Ground States for -Critical Schrödinger Equation with a Spatially Decaying Nonlinearity
Yong Luo, Shu Zhang
We consider the following time-independent nonlinear -critical Schrödinger equation \[ -Δu(x)+V(x)u(x)-a|x|^{-b}|u|^{1+\frac{4-2b}{N}}=μu(x)\,\ \hbox{in}\,\ \mathbb{R}^N, \] w…
math.AP2021
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…
math.AP2019
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…