{
  "id": "1307.0746",
  "version": "v2",
  "published": "2013-07-02T16:17:37.000Z",
  "updated": "2013-10-07T10:40:57.000Z",
  "title": "Remarks on the Moser-Trudinger inequality",
  "authors": [
    "Luca Battaglia",
    "Gabriele Mancini"
  ],
  "comment": "32 pages, accepted on Advances in Nonlinear Analysis",
  "categories": [
    "math.AP"
  ],
  "abstract": "We extend the Moser-Trudinger inequality to any Euclidean domain satisfying Poincar\\'e's inequality. We find out that the same equivalence does not hold in general for conformal metrics on the unit ball, showing counterexamples. We also study the existence of extremals for the Moser-Trudinger inequalities for unbounded domains, proving it for the infinite planar strip.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-07T10:40:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "26D10",
      "35A23",
      "58E35"
    ],
    "keywords": [
      "moser-trudinger inequality",
      "euclidean domain satisfying poincares inequality",
      "infinite planar strip",
      "conformal metrics",
      "unit ball"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.0746B"
    }
  }
}