摘要
采用变分方法研究了一类渐近3-线性Kirchhoff型方程.利用极小作用原理,得到非零非负解的存在性.最后利用强极大值原理,得到了一个正的基态解.
In this paper, we have mainly studied a class of asymptotically 3-linear Kirchhoff-type equations by variational method. Using the principle of minimal action, the existence of non-zero and non-negative solution is obtained. Finally, a positive ground state solution is obtained by using the strong maximum principle.
作者
陈星
吴行平
唐春雷
CHEN Xing;WU Xing-ping;TANG Chun-lei(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2019年第4期22-25,共4页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11471267)
关键词
KIRCHHOFF方程
基态解
极小作用原理
变分方法
Kirchhoff equations
ground state solution
the least action principle
the variational methods
