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The concentration behavior of ground state solutions for a critical fractional Schrodinger-Poisson system
Yang, Zhipeng1; Yu, Yuanyang1,2; Zhao, Fukun1
2019-08-01
Source PublicationMATHEMATISCHE NACHRICHTEN
ISSN0025-584X
Volume292Issue:8Pages:1837-1868
AbstractIn 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.
Keywordconcentration critical growth fractional Schrodinger-Poisson system ground state solution
DOI10.1002/mana.201700398
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000482147900014
PublisherWILEY-V C H VERLAG GMBH
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35611
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhao, Fukun
Affiliation1.Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China
Recommended Citation
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.
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