| On the Fucik point spectrum for Schrodinger operators on R-N | |
Bartsch, Thomas1; Wang, Zhi-Qiang2; Zhang, Zhitao3
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| 2009-08-01 | |
| Source Publication | JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
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| ISSN | 1661-7738 |
| Volume | 5Issue:2Pages:305-317 |
| Abstract | 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. |
| Keyword | Fucik spectrum Schrodinger operator nonlinear Schrodinger equations jumping nonlinearity critical point theory |
| DOI | 10.1007/s11784-009-0109-6 |
| Language | 英语 |
| Funding Project | Alexander von Humboldt Foundation in Germany ; National Natural Science Foundation of China[10671195] ; National Natural Science Foundation of China[10831005] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000268726400007 |
| Publisher | BIRKHAUSER VERLAG AG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/8526 |
| Collection | 数学所 |
| Corresponding Author | Bartsch, Thomas |
| Affiliation | 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 |
| Recommended Citation 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. |
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