A nonlinear Klein-Gordon-Maxwell system in \(\mathbb{R}^{2}\) involving singular and vanishing potentials (Q2418831)
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| Language | Label | Description | Also known as |
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| English | A nonlinear Klein-Gordon-Maxwell system in \(\mathbb{R}^{2}\) involving singular and vanishing potentials |
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A nonlinear Klein-Gordon-Maxwell system in \(\mathbb{R}^{2}\) involving singular and vanishing potentials (English)
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29 May 2019
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Summary: In this paper, a nonlinear Klein-Gordon-Maxwell system in \(\mathbb{R}^{2}\) and involving singular and vanishing potentials is considered. Under some mild assumptions on the potentials and nonlinearity, using variational methods and a Trudinger-Moser-type inequality, we establish sufficient conditions for the existence of solution.
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Klein-Gordon-Maxwell system
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Trudinger-Moser inequality
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radial potentials
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exponential critical growth
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mountain-pass theorem
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