{ "id": "1712.03498", "version": "v1", "published": "2017-12-10T10:51:10.000Z", "updated": "2017-12-10T10:51:10.000Z", "title": "An application of the Theorem on Sums to viscosity solutions of degenerate fully nonlinear equations", "authors": [ "Fausto Ferrari" ], "categories": [ "math.AP" ], "abstract": "We prove H\\\"older continuous regularity of bounded, uniformly continuous, viscosity solutions of degenerate fully nonlinear equations defined in all of $\\mathbb{R}^n$ space. In particular the result applies also to some operators in Carnot groups.", "revisions": [ { "version": "v1", "updated": "2017-12-10T10:51:10.000Z" } ], "analyses": { "subjects": [ "35D40", "35B65", "35H20" ], "keywords": [ "degenerate fully nonlinear equations", "viscosity solutions", "application", "result applies", "carnot groups" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }