{
  "id": "1503.00271",
  "version": "v1",
  "published": "2015-03-01T13:20:34.000Z",
  "updated": "2015-03-01T13:20:34.000Z",
  "title": "On fractional Laplacians -- 3",
  "authors": [
    "Roberta Musina",
    "Alexander I. Nazarov"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the role of the noncompact group of dilations in $\\mathbb R^n$ on the difference of the quadratic forms associated to the fractional Dirichlet and Navier Laplacians. Then we apply our results to study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving the Navier-Laplacian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-01T13:20:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A63",
      "35A23"
    ],
    "keywords": [
      "fractional laplacians",
      "noncompact boundary value problems",
      "navier laplacians",
      "brezis-nirenberg effect",
      "fractional dirichlet"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}