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
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DOI:
10.1142/s0218202513500541
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发表时间:
2013-06
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
I. Catto;J. Dolbeault;-. Sánchez;J. Soler
I. Catto;J. Dolbeault;-. Sánchez;J. Soler
中科院分区:
其他
文献类型:
--
作者:
I. Catto;J. Dolbeault;-. Sánchez;J. Soler

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本文综述了Maxwell-Schr“odinger系统定态存在性的最新结果和存在的问题。的工具,证明和结果的组合的框架中的浓度-紧凑性方法。
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.