{
  "id": "1309.4204",
  "version": "v1",
  "published": "2013-09-17T07:14:52.000Z",
  "updated": "2013-09-17T07:14:52.000Z",
  "title": "$C^{1, 1}$ Solution of the Dirichlet Problem for Degenerate $k$-Hessian Equations",
  "authors": [
    "Qi Wang",
    "Chao-Jiang Xu"
  ],
  "comment": "18pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove the existence of $C^{1,1}$-solution to the Dirichlet problem for degenerate elliptic $k$-Hessian equations $S_{k}[u]=f$ under a condition which is weaker than the condition $f^{1/k}\\in C^{1,1}(\\bar\\Omega)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-17T07:14:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirichlet problem",
      "hessian equations",
      "degenerate elliptic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.4204W"
    }
  }
}