Existence of multi-bump solutions for a system with critical exponent in R-N
文献类型：期刊论文
| 作者 | Nie, Jianjun1; Ding, Yanheng2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2022-01-15 |
| 卷号 | 505期号:2页码:37 |
| 关键词 | Elliptic system Critical exponent Finite dimensional reduction Multi-bump solutions |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2021.125497 |
| 英文摘要 | We consider the following system with critical exponent in R-N: {-Delta u = K-1(y)u(2)* (- 1) + p/2* V(y)u(p-1) v(q) in R-N, -Delta u = K-2(y)u(2)* (- 1) + q/2* V(y)u(p) v(q-1) in R-N, u, v > 0, y is an element of R-N, where N >= 5, p, q > 1 and p + q = 2* = 2N/N-2 . Using finite dimensional reduction method, we prove the existence of multi-bump solutions. Their bumps can be placed on arbitrarily many or even infinitely many lattice points in R-N. Since p < 2 or q < 2, we introduce two new norms to avoid singularity. (C) 2021 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11801545] ; National Natural Science Foundation of China[11571146] ; Fundamental Research Funds for the Central Universities[2020MS043] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000706373600022 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59401]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Nie, Jianjun |
| 作者单位 | 1.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Nie, Jianjun,Ding, Yanheng. Existence of multi-bump solutions for a system with critical exponent in R-N[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2022,505(2):37. |
| APA | Nie, Jianjun,&Ding, Yanheng.(2022).Existence of multi-bump solutions for a system with critical exponent in R-N.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,505(2),37. |
| MLA | Nie, Jianjun,et al."Existence of multi-bump solutions for a system with critical exponent in R-N".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 505.2(2022):37. |
入库方式： OAI收割
来源：数学与系统科学研究院
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