{
  "id": "1207.6671",
  "version": "v1",
  "published": "2012-07-28T00:02:15.000Z",
  "updated": "2012-07-28T00:02:15.000Z",
  "title": "Maximum principle and one-sign solutions for the elliptic $p$-Laplacian",
  "authors": [
    "Guowei Dai"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove a maximum principle for the $p$-Laplacian with a sign-changing weight. As an application of this maximum principle, we study the existence of one-sign solutions for a class of quasilinear elliptic problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-28T00:02:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B50",
      "35B32",
      "35D05",
      "35J70"
    ],
    "keywords": [
      "maximum principle",
      "one-sign solutions",
      "quasilinear elliptic problems",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.6671D"
    }
  }
}