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arxiv: 1306.3699 · v1 · pith:P3AQWOVCnew · submitted 2013-06-16 · 🧮 math.AP

Existence of steady states for the Maxwell-Schr\"odinger-Poisson system: exploring the applicability of the concentration-compactness principle

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keywords existencemaxwell-schrresultsstatessteadysystemapplicabilitycombination
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This paper is intended to review recent results and open problems concerning the existence of steady states to the Maxwell-Schr\"odinger system. A combination of tools, proofs and results are presented in the framework of the concentration--compactness method.

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