The Fucik spectrum of Schrodinger operators in strongly indefinite cases

doi:10.1007/s00030-022-00827-7

	The Fucik spectrum of Schrodinger operators in strongly indefinite cases
	Song, Linjie 1,2
刊名	NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
	2023-03-01
卷号	30 期号:2 页码:28
关键词	Fucik spectrum Schrodinger operators Essential spectrum Jumping nonlinearities
ISSN号	1021-9722
DOI	10.1007/s00030-022-00827-7
英文摘要	In this work, we study the Fucik spectrum for the Schrodinger operator -delta + V when -delta + V is strongly indefinite. More precisely, we aim to show the existence of two Fucik spectrum curves stemming from a distinct eigenvalue, which is in a gap of the essential spectrum. Our method is variational and main difficulties arise from the indefiniteness of the associate functional. We use new strategies to deal with the underlying difficulties of establishing boundedness and compactness properties of (PS) sequences and then use a finite-dimensional approximation method. As an application, we show the existence of a nontrivial solution for nonlinear Schrodinger equations with jumping nonlinearities in strongly indefinite cases.
资助项目	CEMS
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER INT PUBL AG
WOS记录号	WOS:000902003900001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60455]
专题	中国科学院数学与系统科学研究院
通讯作者	Song, Linjie
作者单位	1.Acad Sinica, Inst Math, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Song, Linjie. The Fucik spectrum of Schrodinger operators in strongly indefinite cases[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS,2023,30(2):28.
APA	Song, Linjie.(2023).The Fucik spectrum of Schrodinger operators in strongly indefinite cases.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS,30(2),28.
MLA	Song, Linjie."The Fucik spectrum of Schrodinger operators in strongly indefinite cases".NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 30.2(2023):28.