{
  "id": "1703.10388",
  "version": "v1",
  "published": "2017-03-30T10:08:57.000Z",
  "updated": "2017-03-30T10:08:57.000Z",
  "title": "The Fredholm alternative for the $p$-Laplacian in exterior domains",
  "authors": [
    "Pavel Drabek",
    "Ky Ho",
    "Abhishek Sarkar"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the Fredholm alternative for the $p$-Laplacian in an exterior domain which is the complement of the closed unit ball in $\\mathbb{R}^N$ ($N\\geq 2$). By employing techniques of Calculus of Variations we obtain the multiplicity of solutions. The striking difference between our case and the entire space case is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-30T10:08:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J92",
      "35J60",
      "35J20",
      "35P30",
      "35J62",
      "35B40"
    ],
    "keywords": [
      "exterior domain",
      "fredholm alternative",
      "entire space case",
      "closed unit ball",
      "variations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}