On the Fucik point spectrum for Schrodinger operators on R-N

doi:10.1007/s11784-009-0109-6

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	On the Fucik point spectrum for Schrodinger operators on R-N
	Bartsch, Thomas 1; Wang, Zhi-Qiang 2; Zhang, Zhitao3
	2009-08-01
发表期刊	JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
ISSN	1661-7738
卷号	5 期号:2 页码:305-317
摘要	We investigate the Fucik point spectrum of the Schrodinger operator S-lambda = - Delta + V-lambda in L-2(R-N) when the potential V-lambda has a steep potential well for sufficiently large parameter lambda > 0. It is allowed that S-lambda has essential spectrum with finitely many eigenvalues below the infimum of sigma(ess)(S-lambda). We construct the first nontrivial curve in the Fucik point spectrum by minimax methods and show some qualitative properties of the curve and the corresponding eigenfunctions. As applications we establish some results on existence of multiple solutions for nonlinear Schrodinger equations with jumping nonlinearity.
关键词	Fucik spectrum Schrodinger operator nonlinear Schrodinger equations jumping nonlinearity critical point theory
DOI	10.1007/s11784-009-0109-6
语种	英语
资助项目	Alexander von Humboldt Foundation in Germany ; National Natural Science Foundation of China[10671195] ; National Natural Science Foundation of China[10831005]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000268726400007
出版者	BIRKHAUSER VERLAG 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/8526
专题	数学所
通讯作者	Bartsch, Thomas
作者单位	1.Univ Giessen, Math Inst, D-35392 Giessen, Germany 2.Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Bartsch, Thomas,Wang, Zhi-Qiang,Zhang, Zhitao. On the Fucik point spectrum for Schrodinger operators on R-N[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,2009,5(2):305-317.
APA	Bartsch, Thomas,Wang, Zhi-Qiang,&Zhang, Zhitao.(2009).On the Fucik point spectrum for Schrodinger operators on R-N.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,5(2),305-317.
MLA	Bartsch, Thomas,et al."On the Fucik point spectrum for Schrodinger operators on R-N".JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 5.2(2009):305-317.