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Ground state and nodal solutions for a class of biharmonic equations with singular potentials

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成果类型:
期刊论文
作者:
Liu, Hongliang;Xiao, Qizhen*;Shi, Hongxia;Chen, Haibo;Liu, Zhisu
通讯作者:
Xiao, Qizhen
作者机构:
[Xiao, Qizhen; Liu, Hongliang; Liu, Zhisu] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Shi, Hongxia] Hunan First Normal Univ, Sch Math & Computat Sci, Changsha 410205, Hunan, Peoples R China.
[Chen, Haibo] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.
通讯机构:
[Xiao, Qizhen] U
Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
语种:
英文
关键词:
Biharmonic equation;ground state and nodal solution;variational methods;Hessian matric;energy doubling
期刊:
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
ISSN:
2156-907X
年:
2019
卷:
9
期:
4
页码:
1393-1406
基金类别:
†the corresponding author. Email address:math−lhliang@163.com(H. Liu) 1School of Mathematics and Physics, University of South China, Hengyang, 421001, China 2School of Mathematics and Computational Science, Hunan First Normal U-niversity, Changsha, 410205, China 3School of Mathematics and Statistics, Central South University, Changsha, 410083, China ∗The authors were supported by the Hunan Natural Science Fund Youth Fund Project(No. 2018JJ3419), Scientific Research Fund of Hunan Provincial E-ducation Department(Nos. 17C1362 and 17C1364) and Doctoral Funds of SCU(Nos. 2016XQD40 and 2016XQD42).
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 are concerned with a class of fourth order elliptic equations of Kirchhoff type with singular potentials in RN. The existence of ground state and nodal solutions are obtained by using variational methods and properties of Hessian matric. Furthermore, the “energy doubling” property of nodal solutions is also explored. © 2019, Wilmi...

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