Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems

doi:10.1515/ans-2022-0011

	Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems
	Ding, Yanheng 1; Yu, Yuanyang 1,3; Dong, Xiaojing 1,2
刊名	ADVANCED NONLINEAR STUDIES
	2022-07-02
卷号	22 期号:1 页码:248-272
关键词	Dirac-Klein-Gordon system semi-classical states multiplicity subcritical and critical nonlinearities
ISSN号	1536-1365
DOI	10.1515/ans-2022-0011
英文摘要	In the present article, we study multiplicity of semi-classical solutions of a Yukawa-coupled massive Dirac-Klein-Gordon system with the general nonlinear self-coupling, which is either subcritical or critical growth. The number of solutions obtained is described by the ratio of maximum and behavior at infinity of the potentials. We use the variational method that relies upon a delicate cutting off technique. It allows us to overcome the lack of convexity of the nonlinearities.
资助项目	National Natural Science Foundation of China[NSFC11871242]
WOS研究方向	Mathematics
语种	英语
出版者	DE GRUYTER POLAND SP Z O O
WOS记录号	WOS:000820410200001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61226]
专题	中国科学院数学与系统科学研究院
通讯作者	Dong, Xiaojing
作者单位	1.Beijing Normal Univ, Sch Math Sci, MOE, Lab Math & Complex Syst, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Yu, Yuanyang,Dong, Xiaojing. Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems[J]. ADVANCED NONLINEAR STUDIES,2022,22(1):248-272.
APA	Ding, Yanheng,Yu, Yuanyang,&Dong, Xiaojing.(2022).Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems.ADVANCED NONLINEAR STUDIES,22(1),248-272.
MLA	Ding, Yanheng,et al."Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems".ADVANCED NONLINEAR STUDIES 22.1(2022):248-272.