Existence of steady states for the Maxwell-Schrödinger-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-Schrödinger system. A combination of tools, proofs and results are presented in the framework of the concentration--compactness method.

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Source ISSN: 0218-2025
Author Catto, Isabelle, Dolbeault, Jean, Sánchez, Óscar, Soler, Juan
Maintainer CCSD
Last Updated May 10, 2026, 17:11 (UTC)
Created May 10, 2026, 17:11 (UTC)
Identifier hal-00834551
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) ; Université Paris Dauphine-PSL ; Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
creator Catto, Isabelle
date 2013-05-10T00:00:00
harvest_object_id 1de88b9d-e96b-49cd-b81f-f8371e2602cb
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-06-13T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1306.3699
set_spec type:ART