Nodal solutions for pseudo-relativistic Hartree equations

doi:10.1016/j.jmaa.2020.124474

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	Nodal solutions for pseudo-relativistic Hartree equations
	Huang, Zhihua 1; Yang, Jianfu 2; Yu, Weilin 3
	2021
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	493 期号:1 页码:18
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.
关键词	Hartree equations Nodal solutions Extension method Constrained problem
DOI	10.1016/j.jmaa.2020.124474
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11671179] ; National Natural Science Foundation of China[11771300]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000576820100008
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52323
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.Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, 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.