Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity
Zhang, Hua-Bo; Guan, Wen
2020-10
Source PublicationJOURNAL OF APPLIED MATHEMATICS AND COMPUTING
ISSN1598-5865
Volume64Issue:1-2Pages:157-177
Abstract

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.

KeywordFourth-order Kirchhoff-type equation Nonlocal term Variation methods Sign-changing solutions
DOI10.1007/s12190-020-01349-0
Indexed BySCI ; SCIE ; EI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000527494400001
PublisherSPRINGER HEIDELBERG
EI Accession Number20201808609873
EI KeywordsMathematical techniques
Source libraryWOS
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttps://ir.lut.edu.cn/handle/2XXMBERH/64222
Collection材料科学与工程学院
理学院
Corresponding AuthorGuan, Wen
AffiliationLanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
First Author AffilicationColl Mat Sci & Engn
Corresponding Author AffilicationColl Mat Sci & Engn
First Signature AffilicationColl Mat Sci & Engn
Recommended Citation
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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