The eigenvalue problem for Hessian type operator

被引：2
|
作者：
Mei, Xinqun [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui Province, Peoples R China
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2023年 / 25卷 / 01期
关键词：
Priori estimates; Hessian type operator; eigenvalue problem; 2ND-ORDER ELLIPTIC-EQUATIONS; FULLY NONLINEAR EQUATIONS; DIRICHLET PROBLEM; CONVEXITY; MANIFOLDS; DUALITY;
D O I：
10.1142/S0219199721500899
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a global C2 estimates for a Hessian type equation with homogeneous Dirichlet boundary. By the method of sub and sup solution, we get an existence and uniqueness result for the eigenvalue problem of a Hessian type operator.
引用
收藏
页数：19
相关论文
共 50 条
  • [1] THE EIGENVALUE PROBLEM FOR HESSIAN OPERATORS
    DI, G
    YU, QY
    QU, CZ
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 25 (01) : 27 - 40
  • [2] Variational formula and overdetermined problem for the principle eigenvalue of k-Hessian operator
    Dai, Qiuyi
    Shi, Feilin
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (11) : 4136 - 4148
  • [3] The eigenvalue problem of a singular k-Hessian equation
    Zhang, Xinguang
    Xu, Pengtao
    Wu, Yonghong
    APPLIED MATHEMATICS LETTERS, 2022, 124
  • [4] Eigenvalue problem of Hamiltonian operator matrices
    Hua Wang
    Junjie Huang
    Alatancang Chen
    Journal of Inequalities and Applications, 2015
  • [5] Eigenvalue problem of Hamiltonian operator matrices
    Wang, Hua
    Huang, Junjie
    Chen, Alatancang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [6] ON AN OVERDETERMINED EIGENVALUE PROBLEM WITH MEMS OPERATOR
    Khenissy, Saima
    Zouhir, Ibrahim
    MATHEMATICAL REPORTS, 2023, 25 (03): : 365 - 380
  • [7] AN INVERSE EIGENVALUE PROBLEM FOR THE LAPLACE OPERATOR
    ZAYED, EME
    LECTURE NOTES IN MATHEMATICS, 1982, 964 : 718 - 726
  • [8] On a Eigenvalue Problem Involving Dirac Operator
    Pan, Lian
    Bao, Gejun
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2015, 25 (02) : 415 - 424
  • [9] On a Eigenvalue Problem Involving Dirac Operator
    Lian Pan
    Gejun Bao
    Advances in Applied Clifford Algebras, 2015, 25 : 415 - 424
  • [10] Eigenvalue problems for a k-Hessian-type equation
    Yang, Zedong
    Bai, Zhanbing
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2025, 30 (01): : 58 - 71
12345