{
  "id": "1310.6167",
  "version": "v1",
  "published": "2013-10-23T09:55:49.000Z",
  "updated": "2013-10-23T09:55:49.000Z",
  "title": "The Monge-Ampère equation and its link to optimal transportation",
  "authors": [
    "Guido De Philippis",
    "Alessio Figalli"
  ],
  "comment": "Survey paper",
  "categories": [
    "math.AP"
  ],
  "abstract": "We survey the (old and new) regularity theory for the Monge-Amp\\`ere equation, show its connection to optimal transportation, and describe the regularity properties of a general class of Monge-Amp\\`ere type equations arising in that context.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-23T09:55:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optimal transportation",
      "monge-ampère equation",
      "regularity theory",
      "regularity properties",
      "general class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.6167D"
    }
  }
}