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Ground state solutions for a quasilinear Kirchhoff type equation

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成果类型:
期刊论文
作者:
Liu, Hongliang;Chen, Haibo*;Xiao, Qizhen
通讯作者:
Chen, Haibo
作者机构:
[Xiao, Qizhen; Liu, Hongliang] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Chen, Haibo] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.
通讯机构:
[Chen, Haibo] C
Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.
语种:
英文
关键词:
Ground state solution;Kirchhoff type equations;Quasilinear;Variational methods
期刊:
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
ISSN:
1417-3875
年:
2016
卷:
2016
期:
90
页码:
1-14
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
We study the ground state solutions of the following quasilinear Kirchhoff type equation -( 1 + b integral(R3) vertical bar del u vertical bar(2) dx) Delta u + V (x) u - [Delta(u(2))]u = vertical bar u vertical bar(10)u + mu vertical bar u vertical bar(p-1)u, x is an element of R, where b >= 0 and mu is a positive parameter. Under some suitable conditions on V (x), we obtain the existence of ground stat...

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