曲阜师范大学学报（自然科学版）2020，Vol.46Issue(1)：19-28,10.DOI:10.3969/j.issn.1001-5337.2020.1.019
临界基尔霍夫型问题在R4中解的存在性
The existence of solutions for the critical Kirchhoff type problem in R4
摘要
Abstract
We study the following Kirchhoff type problem-(a +b∫R4 | ▽u |2dx)/△u+V(x)u=K(x)u3 +μf(u) inR4,(*)where a,b＞0 are constants,suitable conditions are imposed on V,f,K.By using the generalized Mountainpass Theorem,the existence and non-existence results is solutions of(*).By using the Nehari manifold,a ground state solution for equation (*) is abtained.关键词
基尔霍夫型问题/临界指数/山路定理/Nehari流形Key words
Kirchhoff type problem/critical exponent/Mountain-pass theorem/Nehari manifold分类
数理科学引用本文复制引用
赵亚茹,孙燕,栾世霞..临界基尔霍夫型问题在R4中解的存在性[J].曲阜师范大学学报（自然科学版）,2020,46(1):19-28,10.基金项目
National Natural Science Foundation of China(11471187,11571197). （11471187,11571197）
