{
  "id": "1409.7421",
  "version": "v1",
  "published": "2014-09-25T21:13:25.000Z",
  "updated": "2014-09-25T21:13:25.000Z",
  "title": "Symmetry breaking for an elliptic equation involving the Fractional Laplacian",
  "authors": [
    "Pablo L. De Nápoli"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-25T21:13:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "42B37"
    ],
    "keywords": [
      "fractional laplacian",
      "elliptic equation",
      "strauss radial lemma",
      "symmetry breaking phenomenon",
      "radial functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.7421D"
    }
  }
}