{
  "id": "1009.3158",
  "version": "v1",
  "published": "2010-09-16T12:32:05.000Z",
  "updated": "2010-09-16T12:32:05.000Z",
  "title": "A note on Hardy's inequalities with boundary singularities",
  "authors": [
    "Mouhamed Moustapha Fall"
  ],
  "comment": "24 pages",
  "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 inequalities with weight function singular at the boundary of $\\O$. In particular we give sufficient conditions so that the best constant is achieved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-16T12:32:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary singularities",
      "hardys inequalities",
      "weight function singular",
      "smooth bounded domain",
      "hardy-poincare inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.3158M"
    }
  }
}