云南师范大学学报（自然科学版）2023，Vol.43Issue(6)：24-32,9.DOI:10.7699/j.ynnu.ns-2023-076
一类k-Hessian系统三个径向解的存在性
Existence of Three Radial Solutions for A Class ofk-Hessian System
摘要
Abstract
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 cer-tain extent.关键词
k-Hessian系统/Leggett-Williams不动点定理/多解性/锥Key words
k-Hessian system/Leggett-Williams fixed point theorem/Multiplicity/Cone分类
数理科学引用本文复制引用
王丽媛,李杰梅..一类k-Hessian系统三个径向解的存在性[J].云南师范大学学报（自然科学版）,2023,43(6):24-32,9.基金项目
国家自然科学基金资助项目(11801243). （11801243）
