{
  "id": "math/0412146",
  "version": "v1",
  "published": "2004-12-07T17:50:37.000Z",
  "updated": "2004-12-07T17:50:37.000Z",
  "title": "On a class of Rellich inequalities",
  "authors": [
    "G. Barbatis",
    "A. Tertikas"
  ],
  "comment": "15 pages. To appear in J. Comput. Appl. Math",
  "categories": [
    "math.AP",
    "math.SP"
  ],
  "abstract": "We prove Rellich and improved Rellich inequalities that involve the distance function from a hypersurface of codimension $k$, under a certain geometric assumption. In case the distance is taken from the boundary, that assumption is the convexity of the domain. We also discuss the best constant of these inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-07T17:50:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35P20"
    ],
    "keywords": [
      "rellich inequalities",
      "distance function",
      "best constant",
      "geometric assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12146B"
    }
  }
}