{
  "id": "1504.00972",
  "version": "v1",
  "published": "2015-04-04T02:31:27.000Z",
  "updated": "2015-04-04T02:31:27.000Z",
  "title": "Weighted Hardy inequality on Riemannian manifolds",
  "authors": [
    "El Hadji Abdoulaye Thiam"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Let $(M,g)$ be a smooth compact Riemannian manifold of dimension $N \\geq 3$ and we let $\\Sigma$ to be a closed submanifold of dimension $1 \\leq k \\leq N-2. $ In this paper we study existence and non-existence of minimizers of Hardy inequality with weight function singular on $\\Sigma$ within the framework of Brezis-Marcus-Shafrir [8]. In particular we provide necessary and sufficient conditions for existence of minimizers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-04T02:31:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weighted hardy inequality",
      "smooth compact riemannian manifold",
      "weight function singular",
      "study existence",
      "minimizers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150400972H"
    }
  }
}