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Infinitely many solutions for a gauged nonlinear Schrodinger equation

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成果类型:
期刊论文
作者:
Zhang, Jian;Zhang, Wen*;Xie, Xiaoliang
通讯作者:
Zhang, Wen
作者机构:
[Zhang, Jian; Zhang, Wen; Xie, Xiaoliang] Hunan Univ Commerce, Sch Math & Stat, Key Lab Hunan Prov Mobile Business Intelligence, Changsha 410205, Hunan, Peoples R China.
[Zhang, Wen] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.
通讯机构:
[Zhang, Wen] Hunan Univ Commerce, Sch Math & Stat, Key Lab Hunan Prov Mobile Business Intelligence, Changsha 410205, Hunan, Peoples R China.
[Zhang, Wen] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.
语种:
英文
关键词:
Gauged Schrodinger equation;Infinitely many solutions;Superlinear;Variational methods
期刊:
APPLIED MATHEMATICS LETTERS
ISSN:
0893-9659
年:
2019
卷:
88
页码:
21-27
文献类别:
WOS:Article
所属学科:
WOS学科类别:Mathematics, Applied
入藏号:
基金类别:
NNSF [11701173, 11601145 61472136, 61772196]; Natural Science Foundation of Hunan Province [2017JJ3130, 2017JJ3131, 2017JJ2130]; Research Projects of Education Department of Hunan Province [17A116, 17B143]; Key Programs of Research and Development Program of Hunan Province [2017SK2401]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
This paper is concerned with a gauged nonlinear Schrodinger equation -Delta u + omega u + (h(2)(vertical bar x vertical bar)/vertical bar x vertical bar(2) + integral(infinity)(vertical bar x vertical bar) h(s)/su(2)(s)ds)u = f(vertical bar x vertical bar, u) in R-2. Under some suitable conditions on the nonlinearity f, we obtain two new existence results of infinitely many high energy solutions by using variational methods, and our results generalize and improve the recent result in the literature. (C) 2018 Elsevier Ltd. All rights reserved.
参考文献:
Byeon J, 2016, J DIFFER EQUATIONS, V261, P1285, DOI 10.1016/j.jde.2016.04.004
Byeon J, 2012, J FUNCT ANAL, V263, P1575, DOI 10.1016/j.jfa.2012.05.024
Cunha P. L., 2015, NONLINEAR DIFFERENTI, V22, P1381
Deng YB, 2018, J DIFFER EQUATIONS, V264, P4006, DOI 10.1016/j.jde.2017.12.003
Huh H, 2012, J MATH PHYS, V53, DOI 10.1063/1.4726192

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