Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials

doi:10.1007/s00033-019-1082-6

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	Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials
	Sun, Dongdong 1; Zhang, Zhitao2,3
	2019-02-01
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	70 期号:1 页码:18
摘要	In this paper, we investigate and obtain the existence and asymptotic behaviour of the positive ground state solutions to Kirchhoff-type equations with vanishing potentials: {-(epsilon(2)a + epsilon b integral(R3)vertical bar del v vertical bar(2))Delta u + V(x)v = v(p) in R-3,R- v > 0, v is an element of H-1(R-3), where epsilon > 0 is a small parameter, a, b > 0 are constants, 3 < p < 5. The potential V can vanish, i.e. Z := {x is an element of R-3 vertical bar V (x) = 0} = empty set.
关键词	Kirchhoff-type problems Vanishing potentials Schrodinger equation Ground state solution Asymptotic behaviour
DOI	10.1007/s00033-019-1082-6
语种	英语
资助项目	National Natural Science Foundation of China[11771428] ; National Natural Science Foundation of China[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000456785100001
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32202
专题	数学所
通讯作者	Sun, Dongdong
作者单位	1.Qilu Normal Univ, Sch Math, Jinan 250013, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Sun, Dongdong,Zhang, Zhitao. Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2019,70(1):18.
APA	Sun, Dongdong,&Zhang, Zhitao.(2019).Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,70(1),18.
MLA	Sun, Dongdong,et al."Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 70.1(2019):18.