Pointwise Boundary Differentiability for Fully Nonlinear Elliptic Equations

被引：1

作者：

Wu, Duan ^{[1
]}

Lian, Yuanyuan ^{[2
]}

Zhang, Kai ^{[2
]}

机构：

[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Shaanxi, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai, Peoples R China

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2023年 / 258卷 / 01期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

VISCOSITY SOLUTIONS; REGULARITY; DOMAINS;

D O I：

10.1007/s11856-023-2476-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the pointwise boundary differentiability for viscosity solutions of fully nonlinear elliptic equations. This generalizes the previous related results for linear equations and the geometrical conditions in this paper are pointwise and more general. Moreover, our proofs are relatively simple.

引用

页码：375 / 401

页数：27

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