{
  "id": "0812.2350",
  "version": "v1",
  "published": "2008-12-12T17:58:09.000Z",
  "updated": "2008-12-12T17:58:09.000Z",
  "title": "On Invertibility of Sobolev Mappings",
  "authors": [
    "Leonid V. Kovalev",
    "Jani Onninen"
  ],
  "journal": "Journal f\\\"ur die reine und angewandte Mathematik, volume 2011, issue 656, 1-16",
  "doi": "10.1515/CRELLE.2011.038",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove local and global invertibility of Sobolev solutions of certain differential inclusions which prevent the differential matrix from having negative eigenvalues. Our results are new even for quasiregular mappings in two dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-12T17:58:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C65",
      "26B10",
      "26B25"
    ],
    "keywords": [
      "sobolev mappings",
      "quasiregular mappings",
      "differential matrix",
      "global invertibility",
      "sobolev solutions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.2350K"
    }
  }
}