most citedThe Loewner-Nirenberg Problem in Cones

2 citations · 2 across the 2 of their papers we have counts for

collaborators

6 papers

math.AP20202 cited

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…

math.DG2018

Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds

Xumin Jiang, Yalong Shi

We give an elementary proof to the asymptotic expansion formula of Rochon-Zhang for the unique complete Kähler-Einstein metric of Cheng-Yau, Kobayashi, Tian-Yau and Bando on quasi-…

math.AP2018

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…

math.AP2018

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…

math.AP2018

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…

math.AP2018

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…