{ "id": "1211.5812", "version": "v1", "published": "2012-11-25T21:45:58.000Z", "updated": "2012-11-25T21:45:58.000Z", "title": "Singular Solutions of Hessian Elliptic Equations in Five Dimensions", "authors": [ "Nikolai Nadirashvili", "Serge Vladuts" ], "comment": "20 pages. arXiv admin note: substantial text overlap with arXiv:1111.0329, arXiv:0912.3126", "categories": [ "math.AP", "math.DG" ], "abstract": "We show that for any $\\delta\\in [0,1)$ there exists a homogeneous order $2-\\delta$ analytic outside zero solution to a uniformly elliptic Hessian equation in R^5.", "revisions": [ { "version": "v1", "updated": "2012-11-25T21:45:58.000Z" } ], "analyses": { "subjects": [ "35J60", "53A10" ], "keywords": [ "hessian elliptic equations", "singular solutions", "dimensions", "analytic outside zero solution", "uniformly elliptic hessian equation" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.5812N" } } }