3 papers
math.AP2025
Phase transitions in two-component Bose-Einstein condensates with Rabi frequency (II): The De Giorgi conjecture for the nonlocal problem in or
Leyun Wu, Chilin Zhang
In this series of papers, we investigate coupled systems arising in the study of two-component Bose-Einstein condensates, and we establish classification results for solutions of D…
math.AP2025
Multiple solutions to the nonlinear Schrödinger equation with a partial confinement
Liying Shan, Wei Shuai, Leyun Wu
We consider multiple solutions to the nonlinear Schrödinger equation (NLS) with a partial confinement, which is physically relevant to dynamics of the Bose-Einstein condensate. Our…
math.AP2025
Phase transitions in two-component Bose-Einstein condensates with Rabi frequency (I): The De Giorgi conjecture for the local problem in
Leyun Wu, Chilin Zhang
In this series of papers, we investigate coupled systems arising in the study of two-component Bose--Einstein condensates, and we establish classification results for solutions of…