Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R-3
文献类型：期刊论文
| 作者 | Sun, Dongdong; Zhang, Zhitao
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2018-05-01 |
| 卷号 | 461期号:1页码:128-149 |
| ISSN号 | 0022-247X |
| 关键词 | Kirchhoff type problems Concentration Schrodinger equation Ground state solution |
| DOI | 10.1016/j.jmaa.2018.01.003 |
| 英文摘要 | In this paper, we first prove the uniqueness of positive ground state solution for the following Kirchhoff equation in R-3 with constant coefficients {- (a + b integral (R3)vertical bar Delta u vertical bar(2))Delta u + cu = d vertical bar u vertical bar(p-1)u in R-3 u > 0, u is an element of H-1(R-3), where a, b, c, d > 0 are positive constants, 3 < p < 5. Then we use the uniqueness result to obtain the existence and concentration theorems of positive ground state solutions to the following Kirchhoff equation with competing potential functions -(epsilon(2)a + epsilon b integral(R3) vertical bar Delta u vertical bar(2))Delta u + V(x)u = K(x)vertical bar u vertical bar(p-1)u in R-3, for a sufficiently small positive parameter epsilon. (C) 2018 Elsevier Inc. All rights reserved. |
| 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] ; National Natural Science Foundation of China[11771428] ; National Natural Science Foundation of China[11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000426141100009 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29607]  |
| 专题 | 数学所 |
| 通讯作者 | Sun, Dongdong |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Dongdong,Zhang, Zhitao. Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R-3[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2018,461(1):128-149. |
| APA | Sun, Dongdong,&Zhang, Zhitao.(2018).Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R-3.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,461(1),128-149. |
| MLA | Sun, Dongdong,et al."Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R-3".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 461.1(2018):128-149. |
入库方式： OAI收割
来源：数学与系统科学研究院
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