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

doi:10.1186/s13660-021-02552-8

IR > 理学院

	Sign-changing solutions for Schrodinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity
	Guan, Wen1,2 ; Zhang, Hua-Bo 2
	2021-01-29
发表期刊	JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN	1029-242X
卷号	2021 期号:1 页码:-
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.
关键词	Biharmonic operator Sign-changing solution Nonlocal term Variational methods
DOI	10.1186/s13660-021-02552-8
收录类别	SCOPUS ; SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000613479400001
出版者	SPRINGER
来源库	WOS
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/147316
专题	理学院
通讯作者	Guan, Wen
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
第一作者单位	电气工程与信息工程学院; 材料科学与工程学院
通讯作者单位	电气工程与信息工程学院; 材料科学与工程学院
第一作者的第一单位	电气工程与信息工程学院
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):-.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Guan-2021-Sign-chang（1689KB）	期刊论文	出版稿	开放获取	CC BY-NC-SA	浏览下载