Existence of least energy nodal solution for Kirchhoff-Schrodinger-Poisson system with potential vanishing

doi:10.1186/s13661-020-01408-2

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	Existence of least energy nodal solution for Kirchhoff-Schrodinger-Poisson system with potential vanishing
	Zhang, Jin-Long; Wang, Da-Bin
刊名	BOUNDARY VALUE PROBLEMS
	2020-06-18
卷号	2020 期号:1
关键词	Potential vanishing Nehari manifold Least energy nodal solution
ISSN号	1687-2770
DOI	10.1186/s13661-020-01408-2
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000544017900002
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/155160]
专题	理学院
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou, Peoples R China
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).
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).
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).