Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity

doi:10.1007/s12190-020-01349-0

	Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity
	Zhang, Hua-Bo; Guan, Wen
	2020-10
发表期刊	JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
ISSN	1598-5865
卷号	64 期号:1-2 页码:157-177
摘要	In this paper, we study the following fourth-order Kirchhoff-type equation Delta 2u-"("a+b integral RN\| ackward difference u\|2dx Delta u+V(x)u=K(x)f(u),xinRN,with the potential V(x) vanishing at infinity. Under suitable conditions, by using constraint variational method and the quantitative deformation lemma, we obtain a least energy sign-changing (or nodal) solution to this problem. Moreover, we prove that this least energy sign-changing solution has precisely two nodal domains.
关键词	Fourth-order Kirchhoff-type equation Nonlocal term Variation methods Sign-changing solutions
DOI	10.1007/s12190-020-01349-0
收录类别	SCI ; SCIE ; EI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000527494400001
出版者	SPRINGER HEIDELBERG
EI入藏号	20201808609873
EI主题词	Mathematical techniques
来源库	WOS
引用统计	被引频次：5[WOS] [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/64222
专题	材料科学与工程学院理学院
通讯作者	Guan, Wen
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	材料科学与工程学院
通讯作者单位	材料科学与工程学院
第一作者的第一单位	材料科学与工程学院
推荐引用方式 GB/T 7714	Zhang, Hua-Bo,Guan, Wen. Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING,2020,64(1-2):157-177.
APA	Zhang, Hua-Bo,&Guan, Wen.(2020).Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity.JOURNAL OF APPLIED MATHEMATICS AND COMPUTING,64(1-2),157-177.
MLA	Zhang, Hua-Bo,et al."Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity".JOURNAL OF APPLIED MATHEMATICS AND COMPUTING 64.1-2(2020):157-177.

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