{
  "id": "1806.07325",
  "version": "v1",
  "published": "2018-06-19T16:08:35.000Z",
  "updated": "2018-06-19T16:08:35.000Z",
  "title": "Partial regularity for manifold constrained p(x)-harmonic maps",
  "authors": [
    "Cristiana De Filippis"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that manifold constrained $p(x)$-harmonic maps are $C^{1,\\beta}$-regular outside a set of zero $n$-dimensional Lebesgue's measure, for some $\\beta \\in (0,1)$. We also provide an estimate from above of the Hausdorff dimension of the singular set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-19T16:08:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial regularity",
      "dimensional lebesgues measure",
      "harmonic maps",
      "regular outside",
      "singular set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}