{ "id": "0903.5435", "version": "v5", "published": "2009-03-31T11:25:40.000Z", "updated": "2009-11-13T12:48:09.000Z", "title": "Semiclassical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities", "authors": [ "Silvia Cingolani", "Simone Secchi", "Marco Squassina" ], "comment": "34 pages", "categories": [ "math.AP" ], "abstract": "The semi-classical regime of standing wave solutions of a Schr\\\"odinger equation in presence of non-constant electric and magnetic potentials is studied in the case of non-local nonlinearities of Hartree type. It is show that there exists a family of solutions having multiple concentration regions which are located around the minimum points of the electric potential.", "revisions": [ { "version": "v5", "updated": "2009-11-13T12:48:09.000Z" } ], "analyses": { "subjects": [ "35B40", "35K57", "35B35", "92D25" ], "keywords": [ "schrödinger equations", "magnetic field", "hartree-type nonlinearities", "semiclassical limit", "multiple concentration regions" ], "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.5435C" } } }