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The Fucik spectrum of Schrodinger operators in strongly indefinite cases

文献类型：期刊论文

作者Song, Linjie1,2
刊名NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
出版日期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
DOI10.1007/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
WOS记录号WOS:000902003900001
出版者SPRINGER INT PUBL AG
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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