{
  "id": "0806.0492",
  "version": "v2",
  "published": "2008-06-03T10:38:13.000Z",
  "updated": "2008-06-17T08:29:56.000Z",
  "title": "Stable solutions of $-Δu = f(u)$ in $\\R^N$",
  "authors": [
    "Louis Dupaigne",
    "Alberto Farina"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The paper proves Liouville-type results for stable solutions of semilinear elliptic PDEs with convex nonlinearity, posed on the entire Euclidean space. Extensions to solutions which are stable outside a compact set are also presented.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-17T08:29:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stable solutions",
      "entire euclidean space",
      "semilinear elliptic pdes",
      "liouville-type results",
      "convex nonlinearity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.0492D"
    }
  }
}