{ "id": "1409.1454", "version": "v1", "published": "2014-09-04T14:43:45.000Z", "updated": "2014-09-04T14:43:45.000Z", "title": "Singular solutions of conformal Hessian equation", "authors": [ "Nikolai Nadirashvili", "Serge Vladuts" ], "comment": "10 pages", "categories": [ "math.AP" ], "abstract": "We show that for any $\\epsilon\\in ]0,1[$ there exists an analytic outside zero solution to a uniformly elliptic conformal Hessian equation in a ball $B\\subset\\R^5$ which belongs to $C^{1,\\epsilon} (B)\\setminus C^{1,\\epsilon+} (B)$.", "revisions": [ { "version": "v1", "updated": "2014-09-04T14:43:45.000Z" } ], "analyses": { "subjects": [ "35J60" ], "keywords": [ "singular solutions", "uniformly elliptic conformal hessian equation", "analytic outside zero solution" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.1454N" } } }