一类k-Hessian方程径向k-容许解的存在性  

Existence of Radially k-Admissible Solutions fora Class of k-Hessian Equations

作　　者：段对花 高承华 DUAN Duihua;GAO Chenghua(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,兰州730070

出　　处：《吉林大学学报（理学版）》2021年第2期191-195,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11961060);甘肃省自然科学基金(批准号:18JR3RA084).

摘　　要：用锥上不动点指数理论研究一类k-Hessi an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.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.

关 键 词：不动点指数理论 k-Hessian方程 径向k-容许解 

分 类 号：O175.8[理学—数学]