Interior pointwise C2,α regularity for fully nonlinear elliptic equations

被引：2
|
作者：
Wu, Duan [1 ]
Niu, Pengcheng [1 ]
机构：
[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Shaanxi, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 227卷
基金：
中国国家自然科学基金;
关键词：
C-2; C-alpha regularity; Fully nonlinear elliptic equation; Viscosity solution; VISCOSITY SOLUTIONS; C-1; C-ALPHA; CONVEX;
D O I：
10.1016/j.na.2022.113159
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we prove the interior C-2,C-alpha regularity for viscosity solutions of fully nonlinear uniformly elliptic equations with the ellipticity constants close to each other enough. In particular, the regularity for Isaacs equations can be derived. The main idea is the compactness technique. (c) 2022 Elsevier Ltd. All rights reserved.
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