{
  "id": "math/0609126",
  "version": "v2",
  "published": "2006-09-05T09:02:56.000Z",
  "updated": "2007-02-04T07:41:06.000Z",
  "title": "A Liouville-type theorem for the p-Laplacian with potential term",
  "authors": [
    "Yehuda Pinchover",
    "Achilles Tertikas",
    "Kyril Tintarev"
  ],
  "comment": "20 pages, some examples and remarks were added, few misprints were corrected",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution of another such problem is also a ground state. Unlike in the linear case (p=2), this condition involves comparison of both the functions and of their gradients.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-02-04T07:41:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "35B05"
    ],
    "keywords": [
      "potential term",
      "liouville-type theorem",
      "ground state",
      "singular p-laplacian problem",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9126P"
    }
  }
}