{ "id": "2008.09595", "version": "v1", "published": "2020-08-21T17:44:51.000Z", "updated": "2020-08-21T17:44:51.000Z", "title": "Isolated singularities for the n-Liouville equation", "authors": [ "Pierpaolo Esposito" ], "comment": "10 pages", "categories": [ "math.AP" ], "abstract": "In dimension n isolated singularities -- at a finite point or at infinity-- for solutions of finite total mass to the n-Liouville equation are of logarithmic type. As a consequence, we simplify the classification argument in arXiv:1609.03608 and establish a quantization result for entire solutions of the singular n-Liouville equation.", "revisions": [ { "version": "v1", "updated": "2020-08-21T17:44:51.000Z" } ], "analyses": { "subjects": [ "35A21", "35B40", "35B33", "35J92" ], "keywords": [ "isolated singularities", "singular n-liouville equation", "finite total mass", "finite point", "logarithmic type" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }