{
  "id": "1007.3013",
  "version": "v2",
  "published": "2010-07-18T15:42:58.000Z",
  "updated": "2010-10-11T20:46:13.000Z",
  "title": "Convex Solutions of systems of Monge-Ampère equations",
  "authors": [
    "Haiyan Wang"
  ],
  "comment": "In version 2, 1/n is corrected as 1/N in Remark 1.4. All other remains the same",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "The existence and multiplicity and nonexistence of nontrivial radial convex solutions of systems of Monge-Amp\\`ere equations are established with superlinearity or sublinearity assumptions for an appropriately chosen parameter. The proof of the results is based on a fixed point theorem in a cone.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-11T20:46:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J96",
      "34B15"
    ],
    "keywords": [
      "monge-ampère equations",
      "nontrivial radial convex solutions",
      "sublinearity assumptions",
      "appropriately chosen parameter",
      "fixed point theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.3013W"
    }
  }
}