Semiclassical states for Dirac-Klein-Gordon system with critical growth

doi:10.1016/j.jmaa.2020.124092

	Semiclassical states for Dirac-Klein-Gordon system with critical growth
	Ding, Yanheng 1,2; Guo, Qi 1,2; Yu, Yuanyang 1,2
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2020-08-15
卷号	488 期号:2 页码:29
关键词	Dirac-Klein-Gordon system Least energy solutions Concentration Critical
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2020.124092
英文摘要	In this paper, we study the following critical Dirac-Klein-Gordon system in R-3: {i epsilon Sigma(3)(k=1) alpha(k)partial derivative(k)u - alpha beta u + V(x)u - lambda phi beta u = P(x) f (vertical bar u vertical bar)u + Q(x) vertical bar u vertical bar u, -epsilon(2)Delta phi + M phi + 4 pi lambda(beta u) . u, where epsilon > 0 is a small parameter, alpha > 0 is a constant. We prove the existence and concentration of solutions under suitable assumptions on the potential V(x), P(x) and Q(x). We also show the semiclassical solutions w E with maximum points w(epsilon) concentrating at a special set H-P characterized by V(x), P(x) and Q(x), and for any sequence x(epsilon) -> x(0 )is an element of H-p, v(epsilon) (x) := w(epsilon) (epsilon x + x(epsilon)) converges in H-1 (R-3 , C-4) to a least energy solution u of {i Sigma(3)(k=1) alpha(k)partial derivative(k)u - alpha beta u + V(x(0))u - lambda phi beta u = P(x(0)) f (vertical bar u vertical bar)u + Q(x(0)) vertical bar u vertical bar u, -Delta phi + M phi + 4 pi lambda(beta u) . u. (C) 2020 Elsevier Inc. All rights reserved.
资助项目	National Science Foundation of China[NSFC11871242]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000527362000022
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51360]
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, Yuanyang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Guo, Qi,Yu, Yuanyang. Semiclassical states for Dirac-Klein-Gordon system with critical growth[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,488(2):29.
APA	Ding, Yanheng,Guo, Qi,&Yu, Yuanyang.(2020).Semiclassical states for Dirac-Klein-Gordon system with critical growth.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,488(2),29.
MLA	Ding, Yanheng,et al."Semiclassical states for Dirac-Klein-Gordon system with critical growth".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 488.2(2020):29.