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

共 50 条

[11] Boundary first order derivative estimates for fully nonlinear elliptic equations
Ma, Feiyao
Wang, Lihe
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (02) : 988 - 1002
[12] Boundary Lipschitz Regularity and the Hopf Lemma for Fully Nonlinear Elliptic Equations
Lian, Yuanyuan
Zhang, Kai
POTENTIAL ANALYSIS, 2024, 60 (03) : 1231 - 1247
[13] Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations
Araujo, Damiao J.
Sirakov, Boyan
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2023, 169 : 138 - 154
[14] C1,α Regularity for Degenerate Fully Nonlinear Elliptic Equations with Neumann Boundary Conditions
Agnid Banerjee
Ram Baran Verma
Potential Analysis, 2022, 57 : 327 - 365
[15] C1,α Regularity for Degenerate Fully Nonlinear Elliptic Equations with Neumann Boundary Conditions
Banerjee, Agnid
Verma, Ram Baran
POTENTIAL ANALYSIS, 2022, 57 (03) : 327 - 365
[16] A note on boundary differentiability of solutions of elliptic equations in nondivergence form
Huang, Yongpan
Li, Dongsheng
Wang, Lihe
MANUSCRIPTA MATHEMATICA, 2020, 162 (3-4) : 305 - 313
[17] W2, p-estimates for fully nonlinear elliptic equations with oblique boundary conditions
Byun, Sun-Sig
Han, Jeongmin
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (05) : 2125 - 2150
[18] Potential estimates for fully nonlinear elliptic equations with bounded ingredients
Pimentel, Edgard A.
Walker, Miguel
MATHEMATICS IN ENGINEERING, 2023, 5 (03):
[19] Linear and fully nonlinear elliptic equations with Ld-drift
Krylov, Nicolai V.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020, 45 (12) : 1778 - 1798
[20] Uniform Estimates in Periodic Homogenization of Fully Nonlinear Elliptic Equations
Kim, Sunghan
Lee, Ki-Ahm
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 243 (02) : 697 - 745

← 1 2 3 4 5 →