Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance

doi:10.1016/j.jde.2015.12.026

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	Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance
	Chen, Jianyi 1; Zhang, Zhitao2
	2016-04-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	260 期号:7 页码:6017-6037
摘要	In this paper, we consider the periodic-Dirichlet problem for a forced nonlinear wave equation with resonance u(tt) - Delta u = mu u + a(t, x)vertical bar u vertical bar(p-1)u in a n-dimensional ball, Under some suitable assumptions on mu, p and a (t, x), we prove the existence of infinitely many radially symmetric time-periodic solutions for the problem by variational methods. (C) 2015 Elsevier Inc. All rights reserved.
关键词	Nonlinear wave equation Periodic solutions Minimax principle
DOI	10.1016/j.jde.2015.12.026
语种	英语
资助项目	National Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11271353] ; National Natural Science Foundation of China[11331010] ; Research Foundation for Advanced Talents of Qingdao Agricultural University[6631114328]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000374510900019
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22693
专题	数学所
通讯作者	Zhang, Zhitao
作者单位	1.Qingdao Agr Univ, Sci & Informat Coll, Qingdao 266109, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Jianyi,Zhang, Zhitao. Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,260(7):6017-6037.
APA	Chen, Jianyi,&Zhang, Zhitao.(2016).Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance.JOURNAL OF DIFFERENTIAL EQUATIONS,260(7),6017-6037.
MLA	Chen, Jianyi,et al."Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance".JOURNAL OF DIFFERENTIAL EQUATIONS 260.7(2016):6017-6037.