Existence for translating solutions of Gauss curvature flow on exterior domains

被引：3

作者：

Ju, Hongjie ^{[1
]}

Bao, Jiguang ^{[1
]}

Jian, Huaiyu ^{[2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 08期

基金：

中国博士后科学基金;

关键词：

Dirichlet problem; Gauss curvature; Monge-Ampere; Exterior domain; Asymptotic behavior;

D O I：

10.1016/j.na.2012.01.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the Perron method to prove the existence of viscosity solutions to a class of Monge-Ampere equations on exterior domains in R-n(n >= 2) with prescribed asymptotic behavior at infinity. This problem comes from the study of Gauss curvature flow and its generalization, the flow by powers of Gauss curvature. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：3629 / 3640

页数：12

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