Dancer-Fucik spectrum for fractional Schrodinger operators with a steep potential well on R-N
文献类型：期刊论文
| 作者 | Liu, Zhisu4; Luo, Haijun3; Zhang, Zhitao1,2
|
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2019-12-01 |
| 卷号 | 189页码:26 |
| 关键词 | Dancer-Fucik point spectrum Fractional Schrodinger operators Foliated Schwartz symmetric Nonresonance |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2019.06.024 |
| 英文摘要 | In this paper, we study Dancer-Fubik spectrum of the fractional Schrodinger operators which is defined as the set of (alpha, beta) is an element of R-2 such that (-Delta)(s) u + V-lambda(x)u = alpha u(+) + beta u(-) in R-N has a nontrivial solution u, where the potential V-lambda has a steep potential well for sufficiently large parameter lambda > 0. It is allowed that (-Delta)(s) + V-lambda has essential spectrum with finitely many eigenvalues below the infimum of sigma(ess) ((-Delta)(s) + V-lambda). Many difficulties are caused by general nonlocal operators, we develop new techniques to overcome them to construct the first nontrivial curve of Dancer-Fucik point spectrum by minimax methods, to show some qualitative properties of the curve, and to prove that the corresponding eigenfunctions are foliated Schwartz symmetric. As applications we obtain the existence of nontrivial solutions for nonlinear Schrodinger equations with nonresonant nonlinearity. (C) 2019 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11771428] ; National Natural Science Foundation of China[1170126] ; Natural Science Foundation of Hunan Province[2017JJ3265] ; Fundamental Research Funds for the Central Universities[531118010205] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000490149800006 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35909]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Zhitao |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, HCMS, HLM,CEMS, Beijing 100190, Peoples R China 3.Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China 4.Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Zhisu,Luo, Haijun,Zhang, Zhitao. Dancer-Fucik spectrum for fractional Schrodinger operators with a steep potential well on R-N[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2019,189:26. |
| APA | Liu, Zhisu,Luo, Haijun,&Zhang, Zhitao.(2019).Dancer-Fucik spectrum for fractional Schrodinger operators with a steep potential well on R-N.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,189,26. |
| MLA | Liu, Zhisu,et al."Dancer-Fucik spectrum for fractional Schrodinger operators with a steep potential well on R-N".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 189(2019):26. |
入库方式： OAI收割
来源：数学与系统科学研究院
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