EXISTENCE AND CONCENTRATION FOR KIRCHHOFF TYPE EQUATIONS AROUND TOPOLOGICALLY CRITICAL POINTS OF THE POTENTIAL
文献类型：期刊论文
| 作者 | Chen, Yu1,2; Ding, Yanheng1 ; Li, Suhong3
|
| 刊名 | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
 |
| 出版日期 | 2017-09-01 |
| 卷号 | 16期号:5页码:1641-1671 |
| 关键词 | Kirchhoff type equations topologically critical points concentration local maximum saddle Point |
| ISSN号 | 1534-0392 |
| DOI | 10.3934/cpaa.2017079 |
| 英文摘要 | We consider the existence and concentration of solutions for the following Kirchhoff Type Equations -epsilon(2) M(epsilon(2-N) integral(N)(R) vertical bar del v vertical bar(2)dx) Delta v + V(x)v = f(v), in R-N. Under suitable conditions on the continuous functions M, V and integral, we obtain a family of positive solutions concentrating around the local maximum or saddle points of V. Moreover with appropriate assumptions on V, we also have multiple solutions clustering respectively around three kinds of critical points of V. |
| 资助项目 | N.S.F. grant[11461023] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000404234100008 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25779]  |
| 专题 | 数学所 |
| 通讯作者 | Chen, Yu |
| 作者单位 | 1.Univ Chinese Acad Sci, Acad Math & Syst Sci, Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China 2.Honghe Univ Mengzi, Dept Math, Mengzi 661100, Yunnan, Peoples R China 3.Hebei Normal Univ Sci & Technol, Dept Math & Informat Technol, Qinhuangdao 066004, Hebei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Yu,Ding, Yanheng,Li, Suhong. EXISTENCE AND CONCENTRATION FOR KIRCHHOFF TYPE EQUATIONS AROUND TOPOLOGICALLY CRITICAL POINTS OF THE POTENTIAL[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2017,16(5):1641-1671. |
| APA | Chen, Yu,Ding, Yanheng,&Li, Suhong.(2017).EXISTENCE AND CONCENTRATION FOR KIRCHHOFF TYPE EQUATIONS AROUND TOPOLOGICALLY CRITICAL POINTS OF THE POTENTIAL.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,16(5),1641-1671. |
| MLA | Chen, Yu,et al."EXISTENCE AND CONCENTRATION FOR KIRCHHOFF TYPE EQUATIONS AROUND TOPOLOGICALLY CRITICAL POINTS OF THE POTENTIAL".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 16.5(2017):1641-1671. |
入库方式： OAI收割
来源：数学与系统科学研究院
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