2 papers
math.AP2026
Solutions of the singular Yamabe problem near singular boundaries
Weiming Shen, Zhehui Wang, Jiongduo Xie
In this paper, we investigate the asymptotic behaviors of solutions to the singular Yamabe problem with negative constant scalar curvature near singular boundaries and derive optim…
math.DG2026
Asymptotics of high-codimensional area-minimizing currents in hyperbolic space
Xumin Jiang, Jiongduo Xie
We investigate the asymptotic behavior of high-codimensional area-minimizing locally rectifiable currents in hyperbolic space, addressing a problem posed by F.H. Lin and establishi…