{
  "id": "1103.0163",
  "version": "v1",
  "published": "2011-03-01T13:27:48.000Z",
  "updated": "2011-03-01T13:27:48.000Z",
  "title": "Mountain pass solutions for quasi-linear equations via a monotonicity trick",
  "authors": [
    "Benedetta Pellacci",
    "Marco Squassina"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We obtain the existence of mountain pass solutions for quasi-linear equations without the typical assumptions which guarantee the boundedness of an arbitrary Palais-Smale sequence. This is done through a recent version of the monotonicity trick proved by the second author. The main results are new also for the p-Laplacian operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-01T13:27:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B06",
      "58E05"
    ],
    "keywords": [
      "mountain pass solutions",
      "monotonicity trick",
      "quasi-linear equations",
      "arbitrary palais-smale sequence",
      "second author"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.0163P"
    }
  }
}