On the Fucik point spectrum for Schrodinger operators on R-N
文献类型：期刊论文
| 作者 | Bartsch, Thomas1; Wang, Zhi-Qiang2; Zhang, Zhitao3
|
| 刊名 | JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
 |
| 出版日期 | 2009-08-01 |
| 卷号 | 5期号:2页码:305-317 |
| 关键词 | Fucik spectrum Schrodinger operator nonlinear Schrodinger equations jumping nonlinearity critical point theory |
| ISSN号 | 1661-7738 |
| DOI | 10.1007/s11784-009-0109-6 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000268726400007 |
| 出版者 | BIRKHAUSER VERLAG AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8525]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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