2 citations · 2 across the 3 of their papers we have counts for
5 papers · 1 filter
The Loewner-Nirenberg Problem in Cones
Qing Han, Xumin Jiang, Weiming Shen
We study asymptotic behaviors of solutions to the Loewner-Nirenberg problem in finite cones and establish optimal asymptotic expansions in terms of the corresponding solutions in i…
Isometric embedding with nonnegative Gauss curvature under the graph setting
Xumin Jiang
We study the regularity of the isometric embedding X: (B(O,r),g) -> (R3, gcan) of a 2-ball with nonnegatively curved C4 metric into R3. Under the assumption that X can be expressed…
Boundary expansion for the Loewner-Nirenberg problem in domains with conic singularities
Xumin Jiang
We study asymptotic behaviors of solutions to the Loewner-Nirenberg problem in domains with conic singularities and establish asymptotic expansions with respect to two normal direc…
Optimal Regularity of Constant Graphs in Hyperbolic Space
Xumin Jiang, Ling Xiao
Inspired by [6, 7], we study the boundary regularity of constant curvature hypersurfaces in the hyperbolic space , which have prescribed asymptotic boundary at in…
The convergence of boundary expansions and the analyticity of minimal surfaces in the hyperbolic space
Qing Han, Xumin Jiang
We study expansions near the boundary of solutions to the Dirichlet problem for minimal graphs in the hyperbolic space and prove the local convergence of such expansions if the bou…