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

doi:10.1515/ans-2022-0011

CSpace

	Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems
	Ding, Yanheng 1; Yu, Yuanyang 1,3; Dong, Xiaojing 1,2
	2022-07-02
发表期刊	ADVANCED NONLINEAR STUDIES
ISSN	1536-1365
卷号	22 期号:1 页码:248-272
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.
关键词	Dirac-Klein-Gordon system semi-classical states multiplicity subcritical and critical nonlinearities
DOI	10.1515/ans-2022-0011
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[NSFC11871242]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000820410200001
出版者	DE GRUYTER POLAND SP Z O O
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61227
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.