{
  "id": "1906.00902",
  "version": "v1",
  "published": "2019-06-03T16:10:24.000Z",
  "updated": "2019-06-03T16:10:24.000Z",
  "title": "Globally diffeomorphic $σ$--harmonic mappings",
  "authors": [
    "Giovanni Alessandrini",
    "Vincenzo Nesi"
  ],
  "comment": "11 pages, submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "Given a two--dimensional mapping $U$ whose components solve a divergence structure elliptic equation, we give necessary and sufficient conditions on the boundary so that $U$ is a global diffeomorphism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-03T16:10:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C62",
      "35J55"
    ],
    "keywords": [
      "harmonic mappings",
      "globally diffeomorphic",
      "divergence structure elliptic equation",
      "global diffeomorphism",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}