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Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity

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成果类型:
期刊论文
作者:
Liu, Hongliang;Liu, Zhisu*;Xiao, Qizhen
通讯作者:
Liu, Zhisu
作者机构:
[Xiao, Qizhen; Liu, Hongliang; Liu, Zhisu] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Liu, Zhisu] U
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Fourth-order elliptic equation;Logarithmic nonlinearity;Ground state solution
期刊:
Applied Mathematics Letters
ISSN:
0893-9659
年:
2018
卷:
79
页码:
176-181
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [11701267, 11626128]; Hunan Provincial Natural Science FoundationNatural Science Foundation of Hunan Province [2017JJ3265]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [17C1362, 17C1364]
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
In this paper, we study the existence of ground state solutions of nonlinear elliptic equation with logarithmic nonlinearity by the Linking theorem and logarithmic Sobolev inequality. Our results are quite different from those in the case of polynomial nonlinearity. (C)...

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