5 papers
Curvature estimate for the heteroclinical solution to a Bose-Einstein condensation system
Leyun Wu, Chilin Zhang
We investigate heteroclinical solutions of a vector-valued Bose-Einstein condensation system involving the -Laplacian. The main difficulty comes from the degeneracy of the -L…
Pointwise arbitrarily high-order interior estimates for mixed local and nonlocal elliptic equations
Pengyan Wang, Leyun Wu, Chilin Zhang
In this paper, we mainly focus on pointwise, arbitrarily high-order interior estimates for the mixed local-nonlocal elliptic equation \begin{equation*} (-Î)^{s}u(x)-Îu(x)=f(x),\q…
Classification of solutions to a weighted singular fractional problem in the half space
Yahong Guo, Chilin Zhang
We focus on the classification of positive solutions to in the half space with , subject to the Dirichlet condition. We show that when $-2s<α…
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…
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…