Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type
文献类型：期刊论文
| 作者 | Zhang, Zhi-tao1; Sun, Yi-min2; Zhang Zhitao
|
| 刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| 出版日期 | 2016-06-01 |
| 卷号 | 32期号:1页码:35-54 |
| 关键词 | Critical point Nehari manifold cohomological index |
| ISSN号 | 0168-9673 |
| DOI | 10.1007/s10255-016-0545-1 |
| 英文摘要 | Firstly, we use Nehari manifold and Mountain Pass Lemma to prove an existence result of positive solutions for a class of nonlocal elliptic system with Kirchhoff type. Then a multiplicity result is established by cohomological index of Fadell and Rabinowitz. We also consider the critical case and prove existence of positive least energy solution when the parameter beta is sufficiently large. |
| 资助项目 | National Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11271353] ; National Natural Science Foundation of China[11331010] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000373403700003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22432]  |
| 专题 | 数学所 |
| 通讯作者 | Sun, Yi-min |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.NW Univ Xian, Sch Math, Xian 710127, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Zhi-tao,Sun, Yi-min,Zhang Zhitao. Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2016,32(1):35-54. |
| APA | Zhang, Zhi-tao,Sun, Yi-min,&Zhang Zhitao.(2016).Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,32(1),35-54. |
| MLA | Zhang, Zhi-tao,et al."Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 32.1(2016):35-54. |
入库方式： OAI收割
来源：数学与系统科学研究院
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