The iterative properties of solutions for a singular k-Hessian system

被引：0
|
作者：
Zhang, Xinguang [1 ,2 ]
Chen, Peng [1 ]
Wu, Yonghong [2 ]
Wiwatanapataphee, Benchawan [2 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2024年 / 29卷 / 01期
关键词：
Hessian equation; uniqueness; iterative properties; singularity; MONGE-AMPERE EQUATION; DIRICHLET PROBLEM; EXISTENCE; NONEXISTENCE; COMMUTATORS; COMPACTNESS; REGULARITY; BEHAVIOR; THEOREM;
D O I：
10.15388/namc.2024.24.33824
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we focus on the uniqueness and iterative properties of solutions for a singular k-Hessian system involving coupled nonlinear terms with different properties. Unlike the existing work, instead of directly dealing with the system, we use a coupled technique to transfer the Hessian system to an integral equation, and then by introducing an iterative technique, the iterative properties of solution are derived including the uniqueness of solution, iterative sequence, the error estimation and the convergence rate as well as entire asymptotic behaviour.
引用
收藏
页码：146 / 165
页数：20
相关论文
共 50 条
  • [1] On a singular k-Hessian equation
    Zhang, Xuemei
    [J]. APPLIED MATHEMATICS LETTERS, 2019, 97 : 60 - 66
  • [2] Existence of radial solutions for k-Hessian system
    Gao, Hongliang
    Wang, Liyuan
    Li, Jiemei
    [J]. AIMS MATHEMATICS, 2023, 8 (11): : 26498 - 26514
  • [3] ITERATIVE METHODS FOR k-HESSIAN EQUATIONS
    Awanou, Gerard
    [J]. METHODS AND APPLICATIONS OF ANALYSIS, 2018, 25 (01) : 51 - 71
  • [4] Boundary behavior of k-convex solutions for singular k-Hessian equations
    Sun, Huayuan
    Feng, Meiqiang
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 176 : 141 - 156
  • [5] Singular solutions to k-Hessian equations with fast-growing nonlinearities
    do O, Joao Marcos
    Shamarova, Evelina
    da Silva, Esteban
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 222
  • [6] Analysis of nontrivial radial solutions for singular superlinear k-Hessian equations
    Zhang, Xuemei
    [J]. APPLIED MATHEMATICS LETTERS, 2020, 106
  • [7] Existence and multiplicity of radial solutions for a k-Hessian system
    Yang, Zedong
    Bai, Zhanbing
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 512 (02)
  • [8] The eigenvalue problem of a singular k-Hessian equation
    Zhang, Xinguang
    Xu, Pengtao
    Wu, Yonghong
    [J]. APPLIED MATHEMATICS LETTERS, 2022, 124
  • [9] Boundary blow-up solutions to the k-Hessian equation with singular weights
    Zhang, Xuemei
    Feng, Meiqiang
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 167 : 51 - 66
  • [10] Boundary blow-up solutions to the k-Hessian equation with singular weights
    Zhang, Xinqiu
    Liu, Lishan
    [J]. APPLIED MATHEMATICS LETTERS, 2021, 116
12345