{
  "id": "2012.13509",
  "version": "v1",
  "published": "2020-12-25T04:16:14.000Z",
  "updated": "2020-12-25T04:16:14.000Z",
  "title": "Asymptotic expansion at infinity of solutions of special Lagrangian equations",
  "authors": [
    "Zixiao Liu",
    "Jiguang Bao"
  ],
  "comment": "29 pages, 6 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We obtain a quantitative high order expansion at infinity of solutions for a family of fully nonlinear elliptic equations on exterior domain, refine the study of the asymptotic behavior of the Monge-Amp\\`ere equation, the special Lagrangian equation and other elliptic equations, and give the precise gap between exterior maximal (or minimal) gradient graph and the entire case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-25T04:16:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35B40"
    ],
    "keywords": [
      "special lagrangian equation",
      "asymptotic expansion",
      "fully nonlinear elliptic equations",
      "quantitative high order expansion",
      "asymptotic behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}