零质量Kirchhoff型方程基态解的存在性  

Existence of Ground State Solution for Kirchhoff Type Equations With Zero Mass

作　　者：李安然[1] 樊丹丹 LI Anran;FAN Dandan(School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《沈阳大学学报（自然科学版）》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).

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.

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 

分 类 号：O177.91[理学—数学]