The exterior Dirichlet problem for special Lagrangian equations in dimensions n ≤ 4

被引：5
作者：
Bao, Jiguang [1 ]
Li, Haigang [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 89卷
关键词：
Special Lagrangian equation; Hessian quotient equation; Exterior Dirichlet problem; Viscosity solution; VISCOSITY SOLUTIONS; MAXIMUM PRINCIPLE; BERNSTEIN PROBLEM; EXISTENCE; REGULARITY; UNIQUENESS; EXTENSION; THEOREM;
D O I：
10.1016/j.na.2013.05.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the existence theorem for the exterior Dirichlet problem for special Lagrangian equations with prescribed asymptotic behavior at infinity. This extends the previous results on Monge-Ampere equations and Hessian equations to special Lagrangian equations in dimensions n <= 4, which is from calibrated geometry. More generally, we prove that the result is also true for Hessian quotient equations with 0 <= l < k <= n in dimensions n >= 3. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：219 / 229
页数：11
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