{
  "id": "math/0702231",
  "version": "v1",
  "published": "2007-02-08T17:49:08.000Z",
  "updated": "2007-02-08T17:49:08.000Z",
  "title": "Symmetry of global solutions to a class of fully nonlinear elliptic equations in 2D",
  "authors": [
    "D. De Silva",
    "O. Savin"
  ],
  "comment": "13 pages, 2 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that entire bounded monotone solutions to a certain class of fully nonlinear equations in 2D are one-dimensional. Our result also gives a new (non-variational) proof of the well known De Giorgi's conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-08T17:49:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60"
    ],
    "keywords": [
      "fully nonlinear elliptic equations",
      "global solutions",
      "entire bounded monotone solutions",
      "fully nonlinear equations",
      "giorgis conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2231D"
    }
  }
}