{ "id": "1308.1579", "version": "v2", "published": "2013-08-07T14:07:44.000Z", "updated": "2014-10-13T18:09:17.000Z", "title": "Local profile of fully bubbling solutions to SU(n+1) Toda Systems", "authors": [ "Chang-Shou Lin", "Juncheng Wei", "Lei Zhang" ], "comment": "24 pages", "categories": [ "math.AP" ], "abstract": "In this article we prove that for locally defined singular SU(n+1) Toda systems in R^2, the profile of fully bubbling solutions near the singular source can be accurately approximated by global solutions. The main ingredients of our new approach are the classification theorem of Lin-Wei-Ye and the non-degeneracy of the linearized Toda system, which make us overcome the difficulties that come from the lack of symmetry and the singular source.", "revisions": [ { "version": "v1", "updated": "2013-08-07T14:07:44.000Z", "comment": "20 pages", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-10-13T18:09:17.000Z" } ], "analyses": { "subjects": [ "35J60", "35J47" ], "keywords": [ "fully bubbling solutions", "local profile", "singular source", "global solutions", "main ingredients" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1246971, "adsabs": "2013arXiv1308.1579L" } } }