Pointwise Boundary Differentiability for Fully Nonlinear Elliptic Equations

被引:0
|
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
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
收藏
页码:375 / 401
页数:27
相关论文
共 50 条
  • [11] Interior pointwise C2,α regularity for fully nonlinear elliptic equations
    Wu, Duan
    Niu, Pengcheng
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 227
  • [12] Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations
    Silvestre, Luis
    Sirakov, Boyan
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2014, 39 (09) : 1694 - 1717
  • [13] Regularity for fully nonlinear elliptic equations with Neumann boundary data
    Milakis, Emmanouil
    Silvestre, Luis E.
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2006, 31 (08) : 1227 - 1252
  • [14] Regularity for Fully Nonlinear Elliptic Equations with Oblique Boundary Conditions
    Li, Dongsheng
    Zhang, Kai
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 228 (03) : 923 - 967
  • [15] Regularity for Fully Nonlinear Elliptic Equations with Oblique Boundary Conditions
    Dongsheng Li
    Kai Zhang
    Archive for Rational Mechanics and Analysis, 2018, 228 : 923 - 967
  • [16] Boundary value problems for some fully nonlinear elliptic equations
    Chen, Szu-yu Sophie
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2007, 30 (01) : 1 - 15
  • [17] Boundary value problems for some fully nonlinear elliptic equations
    Szu-yu Sophie Chen
    Calculus of Variations and Partial Differential Equations, 2007, 30 : 1 - 15
  • [18] Fractional Differentiability for Solutions of Nonlinear Elliptic Equations
    A. L. Baisón
    A. Clop
    R. Giova
    J. Orobitg
    A. Passarelli di Napoli
    Potential Analysis, 2017, 46 : 403 - 430
  • [19] Fractional Differentiability for Solutions of Nonlinear Elliptic Equations
    Baison, A. L.
    Clop, A.
    Giova, R.
    Orobitg, J.
    di Napoli, A. Passarelli
    POTENTIAL ANALYSIS, 2017, 46 (03) : 403 - 430
  • [20] Boundary differentiability of solutions of elliptic equations on convex domains
    Dongsheng Li
    Lihe Wang
    manuscripta mathematica, 2006, 121 : 137 - 156