非线性Dirac-Klein-Gordon系统半经典解的多重性和集中性

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2022-01-01 DOI:10.1515/ans-2022-0011

Yanheng Ding, Yuanyang Yu, Xiaojing Dong

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引用次数: 0

摘要

摘要本文研究了具有一般非线性自耦的Yukawa耦合大质量Dirac-Clain-Gordon系统的多重半经典解，该系统是亚临界或临界增长的。所获得的解的数量由电势的最大值和无穷大处的行为之比来描述。我们使用的变分方法依赖于一个微妙的切断技术。它使我们能够克服非线性的凸性不足。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems

Abstract In the present article, we study multiplicity of semi-classical solutions of a Yukawa-coupled massive Dirac-Klein-Gordon system with the general nonlinear self-coupling, which is either subcritical or critical growth. The number of solutions obtained is described by the ratio of maximum and behavior at infinity of the potentials. We use the variational method that relies upon a delicate cutting off technique. It allows us to overcome the lack of convexity of the nonlinearities.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.