A multiplicity result for the nonlinear Klein Gordon Maxwell equations

Antonio Azzollini

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arXiv · 1407.1149

A multiplicity result for the nonlinear Klein Gordon Maxwell equations

Antonio Azzollini

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Abstract

In this paper we provide a new technique to find solutions to the Klein-Gordon-Maxwell system. The method, based on an iterative argument, permits to improve previous results where the reduction method was used. We also show how this device permits to obtain a multiplicity result in the physically significant context known as "the positive potential case".

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Antonio Azzollini. 2014-12-13. A multiplicity result for the nonlinear Klein Gordon Maxwell equations. https://arxiv.org/abs/1407.1149

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