Infinitely many solutions for a class of sublinear fractional Schrodinger equations with indefinite potentials

doi:10.1186/s13660-020-02326-8

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	Infinitely many solutions for a class of sublinear fractional Schrodinger equations with indefinite potentials
	Guan, Wen 2; Wang, Bin 2; Hao, Xinan 1
刊名	JOURNAL OF INEQUALITIES AND APPLICATIONS
	2020-03-10
卷号	2020 期号:1
关键词	Fractional Schrodinger equation Indefinite potential Symmetric mountain pass theorem
ISSN号	1029-242X
DOI	10.1186/s13660-020-02326-8
英文摘要	In this paper, we consider the following sublinear fractional Schrodinger equation: (-Delta)su + V(x)u = K(x)\|u\|p-1u, x. RN, where s, p. (0, 1), N > 2s, (-)s is a fractional Laplacian operator, and K, V both change sign in RN. We prove that the problem has infinitely many solutions under appropriate assumptions on K, V. The tool used in this paper is the symmetric mountain pass theorem.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGEROPEN
WOS记录号	WOS:000521031400002
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/155221]
专题	理学院机电工程学院
作者单位	1.Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R China 2.Lanzhou Univ Tech, Dept Appl Math, Lanzhou, Peoples R China;
推荐引用方式 GB/T 7714	Guan, Wen,Wang, Bin,Hao, Xinan. Infinitely many solutions for a class of sublinear fractional Schrodinger equations with indefinite potentials[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS,2020,2020(1).
APA	Guan, Wen,Wang, Bin,&Hao, Xinan.(2020).Infinitely many solutions for a class of sublinear fractional Schrodinger equations with indefinite potentials.JOURNAL OF INEQUALITIES AND APPLICATIONS,2020(1).
MLA	Guan, Wen,et al."Infinitely many solutions for a class of sublinear fractional Schrodinger equations with indefinite potentials".JOURNAL OF INEQUALITIES AND APPLICATIONS 2020.1(2020).