{
  "id": "1206.1349",
  "version": "v1",
  "published": "2012-06-06T21:16:26.000Z",
  "updated": "2012-06-06T21:16:26.000Z",
  "title": "Symmetry results for the $p(x)$-Laplacian equation",
  "authors": [
    "Luigi Montoro",
    "Berardino Sciunzi",
    "Marco Squassina"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the Dirichlet problem for the nonlinear $p(x)$-Laplacian equation. For axially symmetric domains we prove that, under suitable assumptions, there exist Mountain-pass solutions which exhibit partial symmetry. Furthermore, we show that Semi-stable or non-degenerate smooth solutions need to be radially symmetric in the ball.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-06T21:16:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30E25",
      "35B07",
      "58E05",
      "35J92"
    ],
    "keywords": [
      "laplacian equation",
      "symmetry results",
      "dirichlet problem",
      "mountain-pass solutions",
      "partial symmetry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.1349M"
    }
  }
}