Geometrically distinct solutions of nonlinear elliptic systems with periodic potentials

doi:10.1007/s00013-020-01519-3

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	Geometrically distinct solutions of nonlinear elliptic systems with periodic potentials
	Yang, Zhipeng 1; Yu, Yuanyang 2
	2020-10-01
发表期刊	ARCHIV DER MATHEMATIK
ISSN	0003-889X
页码	14
摘要	In this paper, we study the following nonlinear elliptic systems: {-Delta u(1) + V-1(x)u(1) = partial derivative F-u1(x,u) x is an element of R-N, -Delta u(2)+V-2(x)u(2)= partial derivative F-u2(x,u) x is an element of R-N, where u = (u(1), u(2)) : R-N -> R-2, F and V-i are periodic in x(1), ... , x(N) and 0 is not an element of sigma(-Delta + V-i) for i = 1, 2, where sigma(-Delta+ V-i) stands for the spectrum of the Schrodinger operator -Delta+ V-i. Under some suitable assumptions on F and Vi, we obtain the existence of infinitely many geometrically distinct solutions. The result presented in this paper generalizes the result in Szulkin and Weth (J Funct Anal 257(12):3802-3822, 2009).
关键词	Nonlinear elliptic systems Geometrically distinct solutions Variational methods
DOI	10.1007/s00013-020-01519-3
收录类别	SCI
语种	英语
资助项目	Projekt DEAL
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000574356700001
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52267
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Zhipeng
作者单位	1.Georg August Univ Gottingen, Math Inst, D-37073 Gottingen, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Zhipeng,Yu, Yuanyang. Geometrically distinct solutions of nonlinear elliptic systems with periodic potentials[J]. ARCHIV DER MATHEMATIK,2020:14.
APA	Yang, Zhipeng,&Yu, Yuanyang.(2020).Geometrically distinct solutions of nonlinear elliptic systems with periodic potentials.ARCHIV DER MATHEMATIK,14.
MLA	Yang, Zhipeng,et al."Geometrically distinct solutions of nonlinear elliptic systems with periodic potentials".ARCHIV DER MATHEMATIK (2020):14.