{"paper":{"title":"Existence of steady states for the Maxwell-Schr\\\"odinger-Poisson system: exploring the applicability of the concentration-compactness principle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Isabelle Catto (CEREMADE), Jean Dolbeault (CEREMADE), Juan Soler, \\'Oscar S\\'anchez","submitted_at":"2013-06-16T19:05:43Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3699","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}