English

Refined Asymptotics for Minimal Graphs in the Hyperbolic Space

Analysis of PDEs 2017-06-09 v1

Abstract

We study the boundary behaviors of solutions ff to the Dirichlet problem for minimal graphs in the hyperbolic space with singular asymptotic boundaries and characterize the boundary behaviors of ff at the points strictly located in the tangent cones at the singular points on the boundary. For n=2n=2, we also obtain a refined estimate of f.f.

Keywords

Cite

@article{arxiv.1706.02432,
  title  = {Refined Asymptotics for Minimal Graphs in the Hyperbolic Space},
  author = {Weiming Shen and Yue Wang},
  journal= {arXiv preprint arXiv:1706.02432},
  year   = {2017}
}

Comments

Accepted by SCIENCE CHINA Mathematics

R2 v1 2026-06-22T20:12:32.941Z