{
  "id": "1802.07518",
  "version": "v1",
  "published": "2018-02-21T11:20:53.000Z",
  "updated": "2018-02-21T11:20:53.000Z",
  "title": "Global regularity for the Monge-Ampère equation with natural boundary condition",
  "authors": [
    "Shibing Chen",
    "Jiakun Liu",
    "Xu-Jia Wang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we establish the global $C^{2,\\alpha}$ and $W^{2,p}$ regularity for the Monge-Amp\\`ere equation subject to a natural boundary condition arising in optimal transportation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-21T11:20:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monge-ampère equation",
      "global regularity",
      "equation subject",
      "natural boundary condition arising"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}