一类k-Hessian方程k-允许解的唯一性和收敛性  

The uniqueness and convergence of k-admissible solutions for a class of k-Hessian equations

作　　者：何兴玥 丁欢欢 HE Xingyue;DING Huanhuan(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《浙江大学学报（理学版）》2023年第4期424-428,共5页Journal of Zhejiang University（Science Edition）

基　　金：西北师范大学研究生科研资助项目(2021KYZZ01032,2022KYZZ-S112)。

摘　　要：首先,运用u0-次线性定理,证明了一类耦合k-Hessian方程在超线性和次线性情形下,至多存在一个径向k-允许解;其次,用数值例子验证了径向k-允许解的唯一性;最后,运用单调迭代技巧,讨论了k-允许解的一致收敛性。A class of coupled k-Hessian equations is considered.Firstly,by using the u0-sublinear theorem,it is proved that the equation has at most one radial k-admissible solution under the super-linear and sub-linear conditions.The uniqueness of radial k-admissible solution is verified by a numerical example.Finally,by incorporate with the monotone iterative technique,the uniform convergence of the solution is also discussed.

关 键 词：k-Hessian方程 径向k-允许解 u0-次线性定理 单调迭代技巧 

分 类 号：O175.8[理学—数学]