中北大学学报（自然科学版）2017，Vol.38Issue(6)：588-592,603,6.DOI:10.3969/j.issn.1673-3193.2017.06.006
一类Kirchhoff型方程基态解的存在性
The Existence of Ground-State Solutions to a Class of Kirchhoff Type Equations
杨玉蓓1
作者信息
- 1. 武汉工程大学邮电与信息工程学院 机械与电气工程系,湖北 武汉 430074
- 折叠
摘要
Abstract
An explotation was made on the existence of ground-state solutions for a class of Kirchhoff type equations.Kirchhoff type equations with nonlinearity f (u)～|u|p -2 u(4,p <6)has been studied ex-tensively.As f (u )～|u|p -2 u (2 < p < 6 )does not satisfy the Ambrosetti-Rabinowitz condition,the boundedness of Palais-Smale sequence becomes a major difficulty in proving the existence of ground-state solutions.According to the classical variational principle,the mountain-pass theorem and Pohozaev's i-dentity were used to show the existence of ground-state solutions for a class of Kirchhoff type equations under certain assumptions on the nonlinearity f (u),i.e.f (u)|u|p -2 u(2<p <6).关键词
Kirchhoff型方程/Pohozaev恒等式/基态解Key words
Kirchhoff type equations/Pohozaev's idedtity/ground-state solution分类
数理科学引用本文复制引用
杨玉蓓..一类Kirchhoff型方程基态解的存在性[J].中北大学学报（自然科学版）,2017,38(6):588-592,603,6.
