Nodal solutions for pseudo-relativistic Hartree equations
文献类型：期刊论文
| 作者 | Huang, Zhihua1; Yang, Jianfu3; Yu, Weilin2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2021 |
| 卷号 | 493期号:1页码:18 |
| 关键词 | Hartree equations Nodal solutions Extension method Constrained problem |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2020.124474 |
| 英文摘要 | In this paper, we investigate the existence of nodal solutions for the following problem (P-0) (-Delta + m(2))(alpha) u = (vertical bar x vertical bar(-mu) *vertical bar u vertical bar(p))vertical bar u|vertical bar(p-2)u, in R-N, where 1/2 < alpha < 1, 0 < mu <= 2 and 2N-mu/n-1 < p < 2N-mu/N-2 alpha . We show that for any positive integer k, problem (P-0) possesses a radially symmetrical solution changing sign exactly k-times. (c) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11671179] ; National Natural Science Foundation of China[11771300] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000576820100008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52322]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yu, Weilin |
| 作者单位 | 1.Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Zhihua,Yang, Jianfu,Yu, Weilin. Nodal solutions for pseudo-relativistic Hartree equations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2021,493(1):18. |
| APA | Huang, Zhihua,Yang, Jianfu,&Yu, Weilin.(2021).Nodal solutions for pseudo-relativistic Hartree equations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,493(1),18. |
| MLA | Huang, Zhihua,et al."Nodal solutions for pseudo-relativistic Hartree equations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 493.1(2021):18. |
入库方式： OAI收割
来源：数学与系统科学研究院
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