{ "id": "1206.5652", "version": "v2", "published": "2012-06-25T11:31:40.000Z", "updated": "2015-10-05T17:52:44.000Z", "title": "Optimal regularity at the free boundary for the infinity obstacle problem", "authors": [ "Julio D. Rossi", "Eduardo V. Teixeira", "José Miguel Urbano" ], "comment": "17 pages", "journal": "Interfaces and Free Boundaries 2015", "categories": [ "math.AP" ], "abstract": "This paper deals with the obstacle problem for the infinity Laplacian. The main results are a characterization of the solution through comparison with cones that lie above the obstacle and the sharp $C^{1,1/3}$--regularity at the free boundary.", "revisions": [ { "version": "v1", "updated": "2012-06-25T11:31:40.000Z", "journal": null, "doi": null }, { "version": "v2", "updated": "2015-10-05T17:52:44.000Z" } ], "analyses": { "subjects": [ "35B65", "35R35", "35J70" ], "keywords": [ "infinity obstacle problem", "free boundary", "optimal regularity", "main results", "paper deals" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1206.5652R" } } }