The concentration behavior of ground state solutions for nonlinear Dirac equation

doi:10.1016/j.na.2019.111738

	The concentration behavior of ground state solutions for nonlinear Dirac equation
	Ding, Yanheng 2; Yu, Yuanyang 1,2
刊名	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
	2020-06-01
卷号	195 页码:24
关键词	Nonlinear Dirac equation Ground state solutions Concentration
ISSN号	0362-546X
DOI	10.1016/j.na.2019.111738
英文摘要	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.
资助项目	National Science Foundation of China[NSFC11871242]
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000522150400039
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50998]
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.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, 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.