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arXiv · 1206.0495

Subcritical and supercritical Klein-Gordon-Maxwell equations without Ambrosetti-Rabinowitz condition

Patricia L. Cunha
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Abstract

In this article we present some results on the existence of positive and ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. We introduce a general nonlinearity with subcritical and supercritical growth which does not require the usual Ambrosetti-Rabinowitz condition. The proof is based on variational methods and perturbation arguments.

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Patricia L. Cunha. 2012-06-03. Subcritical and supercritical Klein-Gordon-Maxwell equations without Ambrosetti-Rabinowitz condition. https://arxiv.org/abs/1206.0495

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