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

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

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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Bibliographische Detailangaben
Hauptverfasser:	Catto, Isabelle, Dolbeault, Jean, Sánchez, Óscar, Soler, Juan
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
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Beschreibung
Zusammenfassung:	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.
DOI:	10.48550/arxiv.1306.3699