Sign-changing solutions for Schrodinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity

doi:10.1186/s13660-021-02552-8

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	Sign-changing solutions for Schrodinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity
	Guan, Wen 1,2; Zhang, Hua-Bo 2
刊名	JOURNAL OF INEQUALITIES AND APPLICATIONS
	2021-01-29
卷号	2021 期号:1 页码:-
关键词	Biharmonic operator Sign-changing solution Nonlocal term Variational methods
ISSN号	1029-242X
DOI	10.1186/s13660-021-02552-8
英文摘要	The purpose of this paper is to study the existence of sign-changing solution to the following fourth-order equation: Delta(2)u-(a+b integral(RN)\|del u\|(2)dx)Delta u+V(x)u=K(x)f(u)in R-N,(0.1) where 5 <= N <= 7, Delta(2) denotes the biharmonic operator, K(x),V(x) are positive continuous functions which vanish at infinity, and f(u) is only a continuous function. We prove that the equation has a least energy sign-changing solution by the minimization argument on the sign-changing Nehari manifold. If, additionally, f is an odd function, we obtain that equation has infinitely many nontrivial solutions.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000613479400001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/147316]
专题	理学院
作者单位	1.Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Guan, Wen,Zhang, Hua-Bo. Sign-changing solutions for Schrodinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS,2021,2021(1):-.
APA	Guan, Wen,&Zhang, Hua-Bo.(2021).Sign-changing solutions for Schrodinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity.JOURNAL OF INEQUALITIES AND APPLICATIONS,2021(1),-.
MLA	Guan, Wen,et al."Sign-changing solutions for Schrodinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity".JOURNAL OF INEQUALITIES AND APPLICATIONS 2021.1(2021):-.