Liouville type theorems of fully nonlinear elliptic equations in half spaces

被引：1

作者：

Li, Dongsheng ^{[1
]}

Liang, Lichun ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 233卷

基金：

中国国家自然科学基金;

关键词：

Fully nonlinear elliptic equations; Liouville type theorems; Half spaces; Asymptotic expansions; BOUNDARY;

D O I：

10.1016/j.na.2023.113292

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the asymptotic behavior of viscosity solutions for a class of fully nonlinear second-order elliptic equations in the half space. Moreover, the result is applied to Monge-Ampere equations and consequently we improve some existent result.& COPY; 2023 Published by Elsevier Ltd.

引用

页数：6

共 4 条

[1] Asymptotic behavior at infinity of solutions of Monge-Ampere equations in half spaces [J].

Jia, Xiaobiao ;

Li, Dongsheng ;

Li, Zhisu .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (01) :326-348

[2] A Bernstein problem for special Lagrangian equations in exterior domains [J].

Li, Dongsheng ;

Li, Zhisu ;

Yuan, Yu .

ADVANCES IN MATHEMATICS, 2020, 361

[3]

Savin O, 2013, J AM MATH SOC, V26, P63

[4] A localization theorem and boundary regularity for a class of degenerate Monge-Ampere equations [J].

Savin, Ovidiu .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (02) :327-388

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