Regularity for convex viscosity solutions of special Lagrangian equation

被引：5

作者：

Chen, Jingyi ^{[1
]}

Shankar, Ravi ^{[2
]}

Yuan, Yu ^{[2
,3
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC, Canada

[2] Univ Washington, Dept Math, Seattle, WA USA

[3] Univ Washington, Seattle, WA 98195 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2023年 / 76卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

MONGE-AMPERE; BERNSTEIN PROBLEM; BOUNDARY; GRAPHS; PHASES;

D O I：

10.1002/cpa.22130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish interior regularity for convex viscosity solutions of the special Lagrangian equation. Our result states that all such solutions are real analytic in the interior of the domain.

引用

页码：4075 / 4086

页数：12

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