关于半局部klein-gordon-maxwell方程

Pub Date : 2021-01-01 DOI:10.4134/JKMS.J200463

Jongmin Han, Juhee Sohn, Yeong Seok Yoo

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引用次数: 2

摘要

本文研究了由半局部规范场模型引起的Klein-Gordon-Maxwell方程。该模型描述了两个复标量场和一个规范场的相互作用，推广了经典的Klein-Gordon方程和麦克斯韦电动力学。证明了p∈(2,6)存在无限多个径向对称驻波解。这里，p来自标量场势的指数。我们还证明了临界情况p = 6的非平凡解的不存在性。

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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ON SEMILOCAL KLEIN-GORDON-MAXWELL EQUATIONS

In this article, we study the Klein-Gordon-Maxwell equations arising from a semilocal gauge field model. This model describes the interaction of two complex scalar fields and one gauge field, and generalizes the classical Klein-Gordon equation coupled with the Maxwell electrodynamics. We prove that there exist infinitely many standing wave solutions for p ∈ (2, 6) which are radially symmetric. Here, p comes from the exponent of the potential of scalar fields. We also prove the nonexistence of nontrivial solutions for the critical case p = 6.

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