152 citations · 307 across the 9 of their papers we have counts for
9 papers
The Lieb-Yau Conjecture for Ground States of Pseudo-Relativistic Boson Stars
Yujin Guo, Xiaoyu Zeng
It is known that ground states of the pseudo-relativistic Boson stars exist if and only if the stellar mass satisfies , where the finite constant is called the c…
Blow-up behavior of ground states for a nonlinear Schrödinger system with attractive and repulsive interactions
Yujin Guo, Xiaoyu Zeng, Huan-Song Zhou
We consider a nonlinear Schrödinger system arising in a two-component Bose-Einstein condensate (BEC) with attractive intraspecies interactions and repulsive interspecies interactio…
Ground States of Two-Component Attractive Bose-Einstein Condensates II: Semi-trivial Limit Behavior
Yujin Guo, Shuai Li, Juncheng Wei +1
As a continuation of [14], we study new pattern formations of ground states for two-component Bose-Einstein condensates (BEC) with homogeneous trapping potentials in $R…
Ground States of Two-Component Attractive Bose-Einstein Condensates I: Existence and Uniqueness
Yujin Guo, Shuai Li, Juncheng Wei +1
We study ground states of two-component Bose-Einstein condensates (BEC) with trapping potentials in , where the intraspecies interaction and the interspecies int…
Local Uniqueness and Refined Spike Profiles of Ground States for Two-Dimensional Attractive Bose-Einstein Condensates
Yujin Guo, Changshou Lin, Juncheng Wei
We consider ground states of two-dimensional Bose-Einstein condensates in a trap with attractive interactions, which can be described equivalently by positive minimizers of the $L^…
Blow-up solutions for two coupled Gross-Pitaevskii equations with attractive interactions
Yujin Guo, Xiaoyu Zeng, Huan-Song Zhou
The paper is concerned with a system of two coupled time-independent Gross-Pitaevskii equations in , which is used to model two-component Bose-Einstein condensates wi…
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 , where the external potential vanishes on disjoint bounded domains $Ω_i\subset \R^2\ (i=1,2,…
Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
Yujin Guo, Xiaoyu Zeng, Huan-Song Zhou
This paper is concerned with the properties of -normalized minimizers of the Gross-Pitaevskii (GP) functional for a two-dimensional Bose-Einstein condensate with attractive in…
Concentration behavior of standing waves for almost mass critical nonlinear Schrödinger equations
Yujin Guo, Xiaoyu Zeng, Huan-Song Zhou
We study the following nonlinear Schrödinger equation where and is some type…