{
  "id": "1711.05841",
  "version": "v1",
  "published": "2017-11-15T23:02:11.000Z",
  "updated": "2017-11-15T23:02:11.000Z",
  "title": "On monotonicity of some functionals with variable exponent under symmetrization",
  "authors": [
    "S. Bankevich",
    "A. I. Nazarov"
  ],
  "comment": "12 pages",
  "categories": [
    "math.OC",
    "math.AP"
  ],
  "abstract": "We give necessary and sufficient conditions for the P\\'olya--Szeg\\\"o type inequality with variable exponent of summability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-15T23:02:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K05",
      "49N99"
    ],
    "keywords": [
      "variable exponent",
      "monotonicity",
      "symmetrization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}