The concentration behavior of ground state solutions for nonlinear Dirac equation

doi:10.1016/j.na.2019.111738

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	The concentration behavior of ground state solutions for nonlinear Dirac equation
	Ding, Yanheng 1; Yu, Yuanyang 1,2
	2020-06-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	195 页码:24
摘要	In this paper, we study the following nonlinear Dirac equation -i epsilon Sigma(3)(k=1) alpha(k)partial derivative(k)u + alpha beta u + V(x)u =K(x)f(vertical bar u vertical bar)u, in R-3, where epsilon > 0 is a small parameter, a > 0 is a constant, alpha(1), alpha(2), alpha(3) and beta are 4 x 4 Pauli-Dirac matrices, V, K and f are continuous but are not necessarily of class C-1. We prove the existence of ground state solution by using variational methods, and we determine a concrete set related to the potentials V and K as the concentration position of these ground state solutions as epsilon -> 0. Moreover, we consider some properties of these ground state solutions, such as convergence and exponential decay estimate. The result presented in this paper generalizes the result in Ding and Liu (2012). (C) 2019 Elsevier Ltd. All rights reserved.
关键词	Nonlinear Dirac equation Ground state solutions Concentration
DOI	10.1016/j.na.2019.111738
收录类别	SCI
语种	英语
资助项目	National Science Foundation of China[NSFC11871242]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000522150400039
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50999
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, Yuanyang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Yu, Yuanyang. The concentration behavior of ground state solutions for nonlinear Dirac equation[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2020,195:24.
APA	Ding, Yanheng,&Yu, Yuanyang.(2020).The concentration behavior of ground state solutions for nonlinear Dirac equation.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,195,24.
MLA	Ding, Yanheng,et al."The concentration behavior of ground state solutions for nonlinear Dirac equation".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 195(2020):24.