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
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