摘要
应用变分方法研究了3上零质量Kirchhoff型方程基态解的存在性问题.在适当的条件下,得到了一类零质量Kirchhoff型方程基态解的2个存在性结论,部分的推广了一些已有的结果.
The existence of ground state solutions for Kirchhoff type equations in 3 with zero mass is studied by using variational method.Under some appropriate conditions,two existence results for ground state solutions of a class of Kirchhoff type equations with zero mass are obtained,and some existing results are partly generalized.
作者
李安然
樊丹丹
LI Anran;FAN Dandan(School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China)
出处
《沈阳大学学报（自然科学版）》
CAS
2020年第5期431-438,共8页
Journal of Shenyang University：Natural Science
基金
国家自然科学基金资助项目(11701346,11671239,11801338).
关键词
零质量Kirchhoff型方程
拟临界增长
变分方法
山路定理
基态解
Kirchhoff type equations with zero mass
quasicritical growth
variational methods
mountain pass theorem
ground state solution
