A global compactness result for an elliptic equation with double singular terms

doi:10.1016/j.aml.2018.07.018

	A global compactness result for an elliptic equation with double singular terms
	Yu, Ting 1; He, Cheng-Jun 2
刊名	APPLIED MATHEMATICS LETTERS
	2019
卷号	87 页码:27-34
关键词	Nonlinear elliptic equations Global compactness Singular critical terms
ISSN号	0893-9659
DOI	10.1016/j.aml.2018.07.018
英文摘要	In this paper, we establish a global compactness result for (P.S.) sequences of the variational functional of the elliptic problem {-Delta u - mu/vertical bar x vertical bar(2)u = 1/vertical bar x vertical bar(s)vertical bar u vertical bar(2)*(s) -2(u) + lambda u, x is an element of Omega, u = 0 on partial derivative Omega, where Omega subset of R-n, n >= 3, is a bounded smooth domain with 0 is an element of Omega, mu is an element of[0, (n 2)(2)/4), s is an element of [0, 2) and lambda is an element of R are constants. This extends the global compactness result of Cao and Peng (2003) to the case of elliptic problems with double singular critical terms. Our arguments adapt some refined Sobolev inequalities systematically developed quite recently by Palatucci and Pisante (2014) and blow-up analysis. In this way, our arguments turn out to be quite transparent and easy to be applied to many other problems. (C) 2018 Elsevier Ltd. All rights reserved.
WOS关键词	BOUNDARY-VALUE-PROBLEMS ; NONLINEARITIES ; GROWTH
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000447115700005
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/13220]
专题	中国科学院武汉物理与数学研究所
通讯作者	Yu, Ting
作者单位	1.Yangtze Univ, Sch Management, Jingzhou 434023, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Yu, Ting,He, Cheng-Jun. A global compactness result for an elliptic equation with double singular terms[J]. APPLIED MATHEMATICS LETTERS,2019,87:27-34.
APA	Yu, Ting,&He, Cheng-Jun.(2019).A global compactness result for an elliptic equation with double singular terms.APPLIED MATHEMATICS LETTERS,87,27-34.
MLA	Yu, Ting,et al."A global compactness result for an elliptic equation with double singular terms".APPLIED MATHEMATICS LETTERS 87(2019):27-34.