Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy

doi:10.1016/j.jde.2022.01.035

CSpace

	Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy
	Song, Linjie 1,2
	2022-04-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	315 页码:179-199
摘要	As applications, we study bifurcation phenomena and the existence of normalized solutions. In particular, we can show the existence of normalized solutions even if f (x, t) is non-autonomous, while previous methods apply only on autonomous cases. (c) 2022 Elsevier Inc. All rights reserved.
关键词	Bifurcation Normalized solutions Nehari manifold Pohozaev identity
DOI	10.1016/j.jde.2022.01.035
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000754804600006
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/60006
专题	中国科学院数学与系统科学研究院
通讯作者	Song, Linjie
作者单位	1.Acad Sinica, Inst Math, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Song, Linjie. Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2022,315:179-199.
APA	Song, Linjie.(2022).Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy.JOURNAL OF DIFFERENTIAL EQUATIONS,315,179-199.
MLA	Song, Linjie."Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy".JOURNAL OF DIFFERENTIAL EQUATIONS 315(2022):179-199.