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Semiclassical states for Dirac-Klein-Gordon system with critical growth
Ding, Yanheng1,2; Guo, Qi1,2; Yu, Yuanyang1,2
2020-08-15
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume488Issue:2Pages:29
AbstractIn this paper, we study the following critical Dirac-Klein-Gordon system in R-3: {i epsilon Sigma(3)(k=1) alpha(k)partial derivative(k)u - alpha beta u + V(x)u - lambda phi beta u = P(x) f (vertical bar u vertical bar)u + Q(x) vertical bar u vertical bar u, -epsilon(2)Delta phi + M phi + 4 pi lambda(beta u) . u, where epsilon > 0 is a small parameter, alpha > 0 is a constant. We prove the existence and concentration of solutions under suitable assumptions on the potential V(x), P(x) and Q(x). We also show the semiclassical solutions w E with maximum points w(epsilon) concentrating at a special set H-P characterized by V(x), P(x) and Q(x), and for any sequence x(epsilon) -> x(0 )is an element of H-p, v(epsilon) (x) := w(epsilon) (epsilon x + x(epsilon)) converges in H-1 (R-3 , C-4) to a least energy solution u of {i Sigma(3)(k=1) alpha(k)partial derivative(k)u - alpha beta u + V(x(0))u - lambda phi beta u = P(x(0)) f (vertical bar u vertical bar)u + Q(x(0)) vertical bar u vertical bar u, -Delta phi + M phi + 4 pi lambda(beta u) . u. (C) 2020 Elsevier Inc. All rights reserved.
KeywordDirac-Klein-Gordon system Least energy solutions Concentration Critical
DOI10.1016/j.jmaa.2020.124092
Indexed BySCI
Language英语
Funding ProjectNational Science Foundation of China[NSFC11871242]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000527362000022
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51361
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYu, Yuanyang
Affiliation1.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,Guo, Qi,Yu, Yuanyang. Semiclassical states for Dirac-Klein-Gordon system with critical growth[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,488(2):29.
APA Ding, Yanheng,Guo, Qi,&Yu, Yuanyang.(2020).Semiclassical states for Dirac-Klein-Gordon system with critical growth.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,488(2),29.
MLA Ding, Yanheng,et al."Semiclassical states for Dirac-Klein-Gordon system with critical growth".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 488.2(2020):29.
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