摘要
This paper is concerned with ground states of two-component trapped Bose-Einstein condensates passing an obstacle in R^(2),where the intraspecies interactions are attractive and the interspecies interactions are repulsive.We address the classification on the existence and non-existence of ground states.The limiting profiles of ground states are also studied by the energy analysis and the elliptic partial differential equation theory.
基金
supported by National Natural Science Foundation of China (Grant No.11931012)
the Fundamental Research Funds for the Central Universities (Grant No.CCNU22LJ002)
Excellent Doctoral Dissertation Program at Central China Normal University in China (Grant No.2020YBZZ055)。
