| Existence of least energy nodal solution for Kirchhoff-Schrodinger-Poisson system with potential vanishing |
| Zhang, Jin-Long; Wang, Da-Bin
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| 2020-06-18
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发表期刊 | BOUNDARY VALUE PROBLEMS
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ISSN | 1687-2770
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卷号 | 2020期号:1 |
摘要 | This paper deals with the following Kirchhoff-Schrodinger-Poisson system: {-(a + b integral(R3)vertical bar del u vertical bar(2) dx)Delta u + V(x)u + phi u = K(x)f(u) in in R-3, -Delta phi = u(2) in R-3, where a, b are positive constants, K(x), V(x) are positive continuous functions vanishing at infinity, and f(u) is a continuous function. Using the Nehari manifold and variational methods, we prove that this problem has a least energy nodal solution. Furthermore, if f is an odd function, then we obtain that the equation has infinitely many nontrivial solutions. |
关键词 | Potential vanishing
Nehari manifold
Least energy nodal solution
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DOI | 10.1186/s13661-020-01408-2
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收录类别 | SCIE
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语种 | 英语
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WOS研究方向 | Mathematics
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WOS类目 | Mathematics, Applied
; Mathematics
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WOS记录号 | WOS:000544017900002
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出版者 | SPRINGER
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来源库 | WOS
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引用统计 |
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文献类型 | 期刊论文
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条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/155160
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专题 | 理学院
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通讯作者 | Wang, Da-Bin |
作者单位 | Lanzhou Univ Technol, Dept Appl Math, Lanzhou, Peoples R China
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第一作者单位 | 材料科学与工程学院
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通讯作者单位 | 材料科学与工程学院
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第一作者的第一单位 | 材料科学与工程学院
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推荐引用方式 GB/T 7714 |
Zhang, Jin-Long,Wang, Da-Bin. Existence of least energy nodal solution for Kirchhoff-Schrodinger-Poisson system with potential vanishing[J]. BOUNDARY VALUE PROBLEMS,2020,2020(1).
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APA |
Zhang, Jin-Long,&Wang, Da-Bin.(2020).Existence of least energy nodal solution for Kirchhoff-Schrodinger-Poisson system with potential vanishing.BOUNDARY VALUE PROBLEMS,2020(1).
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MLA |
Zhang, Jin-Long,et al."Existence of least energy nodal solution for Kirchhoff-Schrodinger-Poisson system with potential vanishing".BOUNDARY VALUE PROBLEMS 2020.1(2020).
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