{
  "id": "0802.1456",
  "version": "v1",
  "published": "2008-02-11T15:18:58.000Z",
  "updated": "2008-02-11T15:18:58.000Z",
  "title": "Comparison Principles for subelliptic equations of Monge-Ampere type",
  "authors": [
    "Martino Bardi",
    "Paola Mannucci"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equations associated to a family of vector fields. In particular, we obtain the uniqueness of a viscosity solution to the Dirichlet problem for the equation of prescribed horizontal Gauss curvature in a Carnot group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-11T15:18:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49L25",
      "35J60",
      "35J70",
      "22E30"
    ],
    "keywords": [
      "comparison principles",
      "monge-ampere type",
      "subelliptic equations",
      "prescribed horizontal gauss curvature",
      "monge-ampere-type equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.1456B"
    }
  }
}