{
  "id": "1008.4785",
  "version": "v3",
  "published": "2010-08-27T18:57:42.000Z",
  "updated": "2011-05-07T21:47:07.000Z",
  "title": "On the Hardy-Poincaré inequality with boundary singularities",
  "authors": [
    "Mouhamed Moustapha Fall"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Let $\\O$ be a smooth bounded domain in $\\R^N$ with $N\\ge 1$. In this paper we study the Hardy-Poincar\\'e inequality with weight function singular at the boundary of $\\O$. In particular we provide sufficient and necessary conditions on the existence of minimizers.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-05-07T21:47:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary singularities",
      "weight function singular",
      "smooth bounded domain",
      "hardy-poincare inequality",
      "necessary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.4785M"
    }
  }
}