{
  "id": "1211.2540",
  "version": "v1",
  "published": "2012-11-12T09:42:00.000Z",
  "updated": "2012-11-12T09:42:00.000Z",
  "title": "Dimension reduction for $-Δ_1$",
  "authors": [
    "Maria Emilia Amendola",
    "Giuliano Gargiulo",
    "Elvira Zappale"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "A 3D-2D dimension reduction for $-\\Delta_1$ is obtained. A power law approximation from $-\\Delta_p$ as $p \\to 1$ in terms of $\\Gamma$- convergence, duality and asymptotics for least gradient functions has also been provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-12T09:42:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "3d-2d dimension reduction",
      "power law approximation",
      "gradient functions",
      "convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.2540E"
    }
  }
}