Existence of least energy nodal solution for Kirchhoff-type system with Hartree-type nonlinearity

doi:10.3934/math.2020289

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	Existence of least energy nodal solution for Kirchhoff-type system with Hartree-type nonlinearity
	Zhang, Jin-Long; Wang, Da-Bin
刊名	AIMS MATHEMATICS
	2020
卷号	5 期号:5 页码:4494-4511
关键词	nonlocal term variation methods nodal solutions
DOI	10.3934/math.2020289
英文摘要	This paper deals with following Kirchhoff-type system with critical growth {-(a + b integral(R3) vertical bar del u vertical bar(2)dx)Delta u + V(x)u + phi vertical bar u vertical bar(p-2)u = vertical bar u vertical bar(4)u + mu(f(u), x is an element of R-3, (-Delta)(alpha/2)phi = l vertical bar u vertical bar(p), x is an element of R-3, where a,mu > 0, b,l >= 0, alpha is an element of (0, 3), p is an element of [2, 3) and phi vertical bar u vertical bar(p-2)u is a Hartree-type nonlinearity. By the minimization argument on the nodal Nehari manifold and the quantitative deformation lemma, we prove that the above system has a least energy nodal solution. Our result improve and generalize some interesting results which were obtained in subcritical case.
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000543396700028
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/155267]
专题	理学院
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, 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-type system with Hartree-type nonlinearity[J]. AIMS MATHEMATICS,2020,5(5):4494-4511.
APA	Zhang, Jin-Long,&Wang, Da-Bin.(2020).Existence of least energy nodal solution for Kirchhoff-type system with Hartree-type nonlinearity.AIMS MATHEMATICS,5(5),4494-4511.
MLA	Zhang, Jin-Long,et al."Existence of least energy nodal solution for Kirchhoff-type system with Hartree-type nonlinearity".AIMS MATHEMATICS 5.5(2020):4494-4511.