{
  "id": "1907.10341",
  "version": "v1",
  "published": "2019-07-24T10:12:07.000Z",
  "updated": "2019-07-24T10:12:07.000Z",
  "title": "Rellich inequalities in bounded domains",
  "authors": [
    "G. Metafune",
    "L. Negro",
    "M. Sobajima",
    "C. Spina"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in Lp for functions in bounded domains vanishing at the boundary. General operators like L = Delta+ c\\|x|^2x nabla-b\\|x|^2 are considered. Critical cases and remainder terms are also investigated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-24T10:12:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded domains",
      "remainder terms",
      "general operators",
      "sufficient conditions",
      "weighted rellich inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}