The concentration behavior of ground state solutions for a critical fractional Schrodinger-Poisson system

doi:10.1002/mana.201700398

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	The concentration behavior of ground state solutions for a critical fractional Schrodinger-Poisson system
	Yang, Zhipeng 1; Yu, Yuanyang 1,2; Zhao, Fukun 1
	2019-08-01
发表期刊	MATHEMATISCHE NACHRICHTEN
ISSN	0025-584X
卷号	292 期号:8 页码:1837-1868
摘要	In this paper, we study the following critical fractional Schrodinger-Poisson system {epsilon(2s)(-Delta)(s)u+V(x)u + phi u = P(x)f(u) + Q(x)vertical bar u vertical bar(2s-2)u, in R-3, epsilon(2t)(-Delta)(t)phi = u(2,) in R-3 where epsilon < 0 is a small parameter, s is an element of (3/4, 1), t is an element of(0, 1) and 2s + 2t > 3,2(s):= 6/3-2s is the fractional critical exponent for 3-dimension, V(x) is an element of C(R-3) has a positive global minimum, and P(x), Q(x) is an element of C(R-3) are positive and have global maximums. We obtain the existence of a positive ground state solution by using variational methods, and we determine a concrete set related to the potentials V, P and Q as the concentration position of these ground state solutions as epsilon -> 0(+). Moreover, we consider some properties of these ground state solutions, such as convergence and decay estimate.
关键词	concentration critical growth fractional Schrodinger-Poisson system ground state solution
DOI	10.1002/mana.201700398
语种	英语
资助项目	National Natural Science Foundation of China[11661083] ; National Natural Science Foundation of China[11771385] ; Young Academic and Technical Leaders Program of Yunnan Province, China[2015HB028]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000482147900014
出版者	WILEY-V C H VERLAG GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35611
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Fukun
作者单位	1.Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Zhipeng,Yu, Yuanyang,Zhao, Fukun. The concentration behavior of ground state solutions for a critical fractional Schrodinger-Poisson system[J]. MATHEMATISCHE NACHRICHTEN,2019,292(8):1837-1868.
APA	Yang, Zhipeng,Yu, Yuanyang,&Zhao, Fukun.(2019).The concentration behavior of ground state solutions for a critical fractional Schrodinger-Poisson system.MATHEMATISCHE NACHRICHTEN,292(8),1837-1868.
MLA	Yang, Zhipeng,et al."The concentration behavior of ground state solutions for a critical fractional Schrodinger-Poisson system".MATHEMATISCHE NACHRICHTEN 292.8(2019):1837-1868.