{
  "id": "1009.5619",
  "version": "v1",
  "published": "2010-09-28T16:12:24.000Z",
  "updated": "2010-09-28T16:12:24.000Z",
  "title": "Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants",
  "authors": [
    "Jean Dolbeault",
    "Maria J. Esteban"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This contribution is devoted to a review of some recent results on existence, symmetry and symmetry breaking of optimal functions for Caffarelli-Kohn-Nirenberg and weighted logarithmic Hardy inequalities. These results have been obtained in a series of papers in collaboration with M. del Pino, S. Filippas, M. Loss, G. Tarantello and A. Tertikas and are presented from a new viewpoint.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-28T16:12:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "best constants",
      "interpolation inequalities",
      "symmetry breaking",
      "extremal functions",
      "weighted logarithmic hardy inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011mrqp.conf..177D"
    }
  }
}