{ "id": "1406.7517", "version": "v3", "published": "2014-06-29T15:41:18.000Z", "updated": "2014-11-27T12:49:41.000Z", "title": "On fractional Choquard equations", "authors": [ "Pietro d'Avenia", "Gaetano Siciliano", "Marco Squassina" ], "comment": "revised version, 22 pages", "categories": [ "math.AP" ], "abstract": "We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties.", "revisions": [ { "version": "v2", "updated": "2014-07-18T19:16:17.000Z", "comment": "revised version", "journal": null, "doi": null }, { "version": "v3", "updated": "2014-11-27T12:49:41.000Z" } ], "analyses": { "subjects": [ "35P15", "35P30", "35R11" ], "keywords": [ "fractional choquard equations", "nonlinear schrodinger equations", "generalized choquard nonlinearity", "fractional diffusion", "decays properties" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1406.7517D" } } }