{ "id": "1201.1022", "version": "v1", "published": "2012-01-04T21:59:20.000Z", "updated": "2012-01-04T21:59:20.000Z", "title": "Homogeneous Solutions of Fully Nonlinear Elliptic Equations in Four Dimensions", "authors": [ "Nikolai Nadirashvili", "Serge Vladuts" ], "comment": "10 pages, submitted", "categories": [ "math.AP", "math.DG" ], "abstract": "We prove that there is no nontrivial homogeneous order 2 solutions of fully nonlinear uniformly elliptic equations in dimension 4.", "revisions": [ { "version": "v1", "updated": "2012-01-04T21:59:20.000Z" } ], "analyses": { "subjects": [ "35J60" ], "keywords": [ "fully nonlinear elliptic equations", "homogeneous solutions", "fully nonlinear uniformly elliptic equations", "nontrivial homogeneous order" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1201.1022N" } } }