含参数klein-gordon-maxwell系统非平凡解的存在性和多重性

Pub Date : 2017-05-01 DOI:10.4134/JKMS.J160344

Guofeng Che, Haibo Chen

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引用次数: 6

摘要

本文讨论了以下克莱因-戈登-麦克斯韦系统：其中ω>0是常数，λ是参数。在V（x）和f（x，u）的一些适当假设下，我们用变分方法建立了上述系统非平凡解的存在性和多重性。我们的条件削弱了Ambrosetti-Rabinowitz型条件。35B38。

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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EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR KLEIN-GORDON-MAXWELL SYSTEM WITH A PARAMETER

. This paper is concerned with the following Klein-Gordon-Maxwell system: where ω > 0 is a constant and λ is the parameter. Under some suitable assumptions on V ( x ) and f ( x,u ), we establish the existence and multiplicity of nontrivial solutions of the above system via variational methods. Our conditions weaken the Ambrosetti Rabinowitz type condition. 35B38.

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