{
  "id": "1601.08127",
  "version": "v1",
  "published": "2016-01-29T14:31:25.000Z",
  "updated": "2016-01-29T14:31:25.000Z",
  "title": "On the rate of change of the best constant in the Sobolev inequality",
  "authors": [
    "Tom Carroll",
    "Mouhamed Moustapha Fall",
    "Jesse Ratzkin"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We estimate the rate of change of the best constant in the Sobolev inequality of a Euclidean domain which moves outward. Along the way we prove an inequality which reverses the usual Holder inequality, which may be of independent interest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-29T14:31:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "best constant",
      "sobolev inequality",
      "usual holder inequality",
      "euclidean domain",
      "independent interest"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160108127C"
    }
  }
}