Logarithmic Gradient Estimates to Hessian-Type Equations

被引:0
|
作者
Hu Bowen [1 ]
Ye Yunhua [1 ]
机构
[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
Elementary symmetric function; logarithmic gradient estimate;
D O I
10.4208/jpde.v23.n4.6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study logarithmic gradient estimate to smooth admissible solutions of the Hessian-type equations on S-n. The equations contain a Monge-Ampere equation arising in designing a reflecting surface in geometric optics as a special case.
引用
收藏
页码:389 / 400
页数:12
相关论文
共 50 条
  • [1] Curvature estimates for convex solutions of some fully nonlinear Hessian-type equations
    Li, Chunhe
    Ren, Changyu
    Wang, Zhizhang
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (06)
  • [2] Curvature estimates for convex solutions of some fully nonlinear Hessian-type equations
    Chunhe Li
    Changyu Ren
    Zhizhang Wang
    Calculus of Variations and Partial Differential Equations, 2019, 58
  • [3] A VISCOSITY APPROACH TO THE DIRICHLET PROBLEM FOR DEGENERATE COMPLEX HESSIAN-TYPE EQUATIONS
    Dinew, Slawomir
    Hoang-Son Do
    Tat Dat To
    ANALYSIS & PDE, 2019, 12 (02): : 505 - 536
  • [4] Complex Hessian-Type Equations in the Weighted m-Subharmonic Class
    Mohamed Zaway
    Jawhar Hbil
    Ukrainian Mathematical Journal, 2023, 75 : 921 - 935
  • [5] Complex Hessian-Type Equations in the Weighted m-Subharmonic Class
    Zaway, Mohamed
    Hbil, Jawhar
    UKRAINIAN MATHEMATICAL JOURNAL, 2023, 75 (06) : 921 - 935
  • [6] On the exterior Dirichlet problem for Hessian-type fully nonlinear elliptic equations
    Li, Xiaoliang
    Wang, Cong
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2024, 26 (04)
  • [7] Interior Hessian estimates for a class of Hessian type equations
    Chen, Chuanqiang
    Dong, Weisong
    Han, Fei
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023, 62 (02)
  • [8] Interior Hessian estimates for a class of Hessian type equations
    Chuanqiang Chen
    Weisong Dong
    Fei Han
    Calculus of Variations and Partial Differential Equations, 2023, 62
  • [9] Curvature estimates for a class of Hessian type equations
    Chu, Jianchun
    Jiao, Heming
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 60 (03)
  • [10] Curvature estimates for a class of Hessian type equations
    Jianchun Chu
    Heming Jiao
    Calculus of Variations and Partial Differential Equations, 2021, 60