KMS Of Academy of mathematics and systems sciences, CAS
The concentration behavior of ground state solutions for nonlinear Dirac equation | |
Ding, Yanheng1; Yu, Yuanyang1,2 | |
2020-06-01 | |
Source Publication | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
ISSN | 0362-546X |
Volume | 195Pages:24 |
Abstract | 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. |
Keyword | Nonlinear Dirac equation Ground state solutions Concentration |
DOI | 10.1016/j.na.2019.111738 |
Indexed By | SCI |
Language | 英语 |
Funding Project | National Science Foundation of China[NSFC11871242] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000522150400039 |
Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50999 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Yu, Yuanyang |
Affiliation | 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 |
Recommended Citation 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. |
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