{
  "id": "math/0609404",
  "version": "v1",
  "published": "2006-09-14T14:50:46.000Z",
  "updated": "2006-09-14T14:50:46.000Z",
  "title": "Some Liouville theorems and applications",
  "authors": [
    "YanYan Li"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We give exposition of a Liouville theorem established in \\cite{Li3} which is a novel extension of the classical Liouville theorem for harmonic functions. To illustrate some ideas of the proof of the Liouville theorem, we present a new proof of the classical Liouville theorem for harmonic functions. Applications of the Liouville theorem, as well as that of earlier ones in \\cite{Li2}, can be found in \\cite{Li3, Li4} and \\cite{W}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-14T14:50:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J69",
      "58J05"
    ],
    "keywords": [
      "classical liouville theorem",
      "applications",
      "harmonic functions",
      "novel extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9404L"
    }
  }
}