一类k-Hessian方程径向k-容许解的存在性

吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (2): 191-195.

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一类k-Hessian方程径向k-容许解的存在性

段对花, 高承华

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2020-07-10 出版日期:2021-03-26 发布日期:2021-03-26
通讯作者: 高承华 E-mail:gaokuguo@163.com

Existence of Radially k-Admissible Solutions for a Class of k-Hessian Equations

DUAN Duihua, GAO Chenghua

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2020-07-10 Online:2021-03-26 Published:2021-03-26

摘要/Abstract

摘要： 用锥上不动点指数理论研究一类k-Hessian方程径向k-容许解的存在性, 得到了k-Hessian方程几个新的k-容许解的存在性结果.

关键词: 不动点指数理论, k-Hessian方程, 径向k-容许解

Abstract: By using a fixed-point index theorem in cone, we investigated the existence of radially k-admissible solutions for a class of k-Hessian equations and obtained several new results for the existence of radially k-admissible solutions of k-Hessian equations.

Key words: fixed-point index theorem, k-Hessian equations, radially k-admissible solutions

中图分类号:

O175.8

段对花, 高承华. 一类k-Hessian方程径向k-容许解的存在性[J]. 吉林大学学报(理学版), 2021, 59(2): 191-195.

DUAN Duihua, GAO Chenghua. Existence of Radially k-Admissible Solutions for a Class of k-Hessian Equations[J]. Journal of Jilin University Science Edition, 2021, 59(2): 191-195.

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一类k-Hessian方程径向k-容许解的存在性

Existence of Radially k-Admissible Solutions for a Class of k-Hessian Equations

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