一类k-Hessian系统三个径向解的存在性  

Existence of Three Radial Solutions for A Class of k -Hessian System

作　　者：王丽媛 李杰梅 WANG Liyuan;LI Jiemei(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《云南师范大学学报（自然科学版）》2023年第6期24-32,共9页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(11801243)。

摘　　要：在非线性项满足相应的条件时,运用Leggett-Williams不动点定理获得了带有权函数的k-Hessian系统三个径向解的存在性,并通过两个例子验证了所获结果的有效性.该结果是在非线性项去掉单调性的增长性条件下获得,在一定程度上推广了相关文献的结果.A class of k-Hessian system with weight functions is considered.Under some conditions of nonlinearity,the existence of at least three radial solutions is obtained by using the Leggett-Williams fixed point theorem.Furthermore,two examples are given to illustrate the validity of the results.It is worth mentioning that this results is obtained under the condition that the growth of the nonlinear term is removed from the monotonicity,which generalizes the results of the related literature to a certain extent.

关 键 词：k-Hessian系统 LEGGETT-WILLIAMS不动点定理 多解性 锥 

分 类 号：O175.8[理学—数学]