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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 | |
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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