{
  "id": "math/0605601",
  "version": "v1",
  "published": "2006-05-23T01:15:03.000Z",
  "updated": "2006-05-23T01:15:03.000Z",
  "title": "A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry",
  "authors": [
    "Xu-Jia Wang"
  ],
  "journal": "Chinese Annals of Mathematics, 27(B) (2006), 169-178",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we prove the interior gradient and second derivative estimates for a class of fully nonlinear elliptic equations determined by symmetric functions of eigenvalues of the Ricci or Schouten tensors. As an application we prove the existence of solutions to the equations when the manifold is locally conformally flat or the Ricci curvature is positive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-23T01:15:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A30",
      "58J05"
    ],
    "keywords": [
      "conformal geometry",
      "priori estimates",
      "second derivative estimates",
      "fully nonlinear elliptic equations",
      "interior gradient"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Princeton University and the Institute for Advanced Study",
      "journal": "Ann. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5601W"
    }
  }
}