摘要
考察一类奇异k-Hessian方程耦合系统特征值问题径向解的存在性。通过构造适当的上下解,并利用Schauder不动点定理,证得该问题至少存在一个径向解,并获得该径向解的一些渐近性质。
This paper focuses on the existence of radial solutions for the eigenvalue problem of a coupled system of singular k-Hessian equations. By constructing the suitable upper and lower solutions and using the Schauder fixed point theorem, it is proved that at least one radial solution exists in this problem and some asymptotic properties of the radial solution are obtained.
作者
丁欢欢
何兴玥
DING Huan-huan;HE Xing-yue(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2023年第3期55-63,共9页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11961060)
西北师范大学研究生科研资助项目(2021KYZZ01032)。
