Hypersurfaces of constant curvature in hyperbolic space II

被引：19

作者：

Guan, Bo ^{[1
]}

Spruck, Joel ^{[2
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[2] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2010年 / 12卷 / 03期

基金：

美国国家科学基金会;

关键词：

Hyperbolic space; hypersurfaces of constant curvature; asymptotic boundary; fully nonlinear elliptic equations; 2ND-ORDER ELLIPTIC-EQUATIONS; CONVEX HYPERSURFACES; DIRICHLET PROBLEM; BOUNDARY;

D O I：

10.4171/JEMS/215

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.

引用

页码：797 / 817

页数：21

共 11 条

[1]

[Anonymous], 1955, FUNCTIONAL ANAL

[2] THE DIRICHLET PROBLEM FOR NONLINEAR 2ND-ORDER ELLIPTIC-EQUATIONS .1. MONGE-AMPERE EQUATION [J].