Positive and sign-changing least energy solutions for a fractional Schrodinger-Poisson system with critical exponent

doi:10.1080/00036811.2018.1557325

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	Positive and sign-changing least energy solutions for a fractional Schrodinger-Poisson system with critical exponent
	Yu, Yuanyang 1,2; Zhao, Fukun 2; Zhao, Leiga 3
	2020-10-02
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
卷号	99 期号:13 页码:2229-2257
摘要	In this paper, we study the following fractional Schrodinger-Poisson system (-Delta)(s)u+u+K(x)phi u = h(x)\|u\|(p-2)u+\|u\|(2s-2)u,in R-3, (-Delta)(t)phi=K(x)u(2),in R3, where s is an element of(3/4,1),t is an element of(0,1)are two fixed constants, 2(s):=6/(3-2s)is the fractional critical exponent in dimension 3. Under some certain assumptions on non-negative functions K(x) and h(x), we obtain the existence of a positive and a sign-changing least energy solution for (FSP)via variational methods. Moreover, we show that the energy of the sign-changing least solution is strictly larger than twice of the least energy.
关键词	Fractional Schrodinger-Poisson system sign-changing solutions variational methods
DOI	10.1080/00036811.2018.1557325
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China (NSFC)[11771385] ; National Natural Science Foundation of China (NSFC)[11671026]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000565397200003
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52103
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.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing, Peoples R China 2.Yunnan Normal Univ, Dept Math, Kunming, Yunnan, Peoples R China 3.Beijing Univ Chem Technol, Dept Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Yu, Yuanyang,Zhao, Fukun,Zhao, Leiga. Positive and sign-changing least energy solutions for a fractional Schrodinger-Poisson system with critical exponent[J]. APPLICABLE ANALYSIS,2020,99(13):2229-2257.
APA	Yu, Yuanyang,Zhao, Fukun,&Zhao, Leiga.(2020).Positive and sign-changing least energy solutions for a fractional Schrodinger-Poisson system with critical exponent.APPLICABLE ANALYSIS,99(13),2229-2257.
MLA	Yu, Yuanyang,et al."Positive and sign-changing least energy solutions for a fractional Schrodinger-Poisson system with critical exponent".APPLICABLE ANALYSIS 99.13(2020):2229-2257.