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Existence of multiple periodic solutions to asymptotically linear wave equations in a ball

文献类型：期刊论文

作者Chen, Jianyi1; Zhang, Zhitao2,3
刊名CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
出版日期2017-06-01
卷号56期号:3页码:25
关键词Asymptotically linear wave equation Multi-dimensional problem Periodic solutions Variational method
ISSN号0944-2669
DOI10.1007/s00526-017-1154-4
英文摘要This paper is concerned with the Dirichlet problem of the asymptotically linear wave equation u(tt) - Delta u = g(t, x, u) in a n-dimensional ball with radius R, where n > 1 and g(t, x, u) is radially symmetric in x and T-periodic in time. An interesting feature is that the solvable of the problem depends on the space dimension n and the arithmetical properties of R and T. Based on the spectral properties of the radially symmetric wave operator, we use the saddle point reduction and variational methods to construct at least three radially symmetric solutions with time period T, when T is a rational multiple of R and g(t, x, u) satisfies some monotonicity and asymptotically linear conditions.
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] ; Natural Science Foundation of Shandong Province[ZR2016AQ04] ; Research Foundation for Advanced Talents of Qingdao Agricultural University[6631114328] ; Science and Technology Program of Shandong Universities[J16LI04]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000402817100003
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25522]  
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
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Chen, Jianyi,Zhang, Zhitao. Existence of multiple periodic solutions to asymptotically linear wave equations in a ball[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2017,56(3):25.
APA Chen, Jianyi,&Zhang, Zhitao.(2017).Existence of multiple periodic solutions to asymptotically linear wave equations in a ball.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,56(3),25.
MLA Chen, Jianyi,et al."Existence of multiple periodic solutions to asymptotically linear wave equations in a ball".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 56.3(2017):25.

入库方式： OAI收割

来源：数学与系统科学研究院

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