{
  "id": "1402.3147",
  "version": "v1",
  "published": "2014-02-13T14:26:41.000Z",
  "updated": "2014-02-13T14:26:41.000Z",
  "title": "On Coron's problem for the p-Laplacian",
  "authors": [
    "Carlo Mercuri",
    "Berardino Sciunzi",
    "Marco Squassina"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that the critical problem for the $p$-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole. This extends Coron's problem to a class of quasilinear problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-13T14:26:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J92",
      "58E05",
      "54D30"
    ],
    "keywords": [
      "p-laplacian",
      "extends corons problem",
      "laplacian operator admits",
      "sufficiently small inner hole",
      "nontrivial solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.3147M"
    }
  }
}