KMS Of Academy of mathematics and systems sciences, CAS
| THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM | |
| Dai, Guowei1; Sun, Yimin2; Wang, Zhi-Qiang3,4; Zhang, Zhitao5,6 | |
| 2020-03-01 | |
| 发表期刊 | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
 |
| ISSN | 1230-3429 |
| 卷号 | 55期号:1页码:343-367 |
| 摘要 | Using bifurcation analysis we investigate the structure of the set of positive solutions for the coupled nonlinear Schrodinger system { -Delta u(1 )+( )u(1 )= u(1)(3) + beta u(1)u(2)(2) in R-N, -Delta U-2 + lambda u(2) = mu u(2)(3) + beta u(2)u(1)(2) in R-N, u(1 )(x), u(2) (x) -> 0 as vertical bar x vertical bar -> + infinity, where N = 1, 2, 3, mu is a positive constant, lambda and beta are positive real parameters. We prove the existence of two two-dimensional continua S-1 and S-2 emanating from the two sets of semi-positive solutions which cover some regions in term of (beta, lambda) is an element of R-+(2). To do this, we establish a multi-parameter unilateral global bifurcation theorem. |
| 关键词 | Schrodinger systems global bifurcation multi-parameter positive solutions |
| DOI | 10.12775/TMNA.2019.098 |
| 收录类别 | SCI |
| 语种 | 英语 |
| 资助项目 | NNSF of China[11771428] ; NNSF of China[11926335] ; NNSF of China[11871129] ; NNSF of China[11771324] ; NNSF of China[11831009] ; NNSF of China[11811540026] |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| WOS记录号 | WOS:000522653200016 |
| 出版者 | JULIUSZ SCHAUDER CTR NONLINEAR STUDIES |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/51032 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Zhitao |
| 作者单位 | 1.Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China 2.Northwest Univ, Dept Math, Xian 710127, Peoples R China 3.Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Peoples R China 4.Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA 5.Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, Peoples R China 6.Univ Chinese Acad Sci, Sch Math Sciencese, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, Guowei,Sun, Yimin,Wang, Zhi-Qiang,et al. THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2020,55(1):343-367. |
| APA | Dai, Guowei,Sun, Yimin,Wang, Zhi-Qiang,&Zhang, Zhitao.(2020).THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,55(1),343-367. |
| MLA | Dai, Guowei,et al."THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM".TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 55.1(2020):343-367. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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