On the concentration of semi-classical states for a nonlinear Dirac-Klein-Gordon system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:256

Article

Ding, Yanheng¹  Xu, Tian¹ 

[1] Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China

关键词: Dirac-Klein-Gordon system;    Semi-classical states;    Concentration;   

DOI  :  10.1016/j.jde.2013.10.017

来源: Elsevier

【 摘 要 】

In the present paper, we study the semi-classical approximation of a Yukawa-coupled massive Dirac-Klein-Gordon system with some general nonlinear self-coupling. We prove that for a constrained coupling constant there exists a family of ground states of the semi-classical problem, for all (h) over bar small, and show that the family concentrates around the maxima of the nonlinear potential as (h) over bar -> 0. Our method is variational and relies upon a delicate cutting off technique. It allows us to overcome the lack of convexity of the nonlinearities. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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