{
  "id": "1711.04671",
  "version": "v1",
  "published": "2017-11-10T16:22:58.000Z",
  "updated": "2017-11-10T16:22:58.000Z",
  "title": "$C^{1,α}$-Regularity for variational problems in the Heisenberg group",
  "authors": [
    "Shirsho Mukherjee",
    "Xiao Zhong"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1711.03284",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the regularity of minima of scalar variational integrals of $p$-growth, $1<p<\\infty$, in the Heisenberg group and prove the H\\\"older continuity of horizontal gradient of minima.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-10T16:22:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35H20",
      "35J70"
    ],
    "keywords": [
      "heisenberg group",
      "variational problems",
      "regularity",
      "scalar variational integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}