{
  "id": "1805.03748",
  "version": "v1",
  "published": "2018-05-09T22:35:02.000Z",
  "updated": "2018-05-09T22:35:02.000Z",
  "title": "$C^{1,α}$-Regularity of Quasilinear equations on the Heisenberg Group",
  "authors": [
    "Shirsho Mukherjee"
  ],
  "comment": "long version",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group. The conditions encompass a very wide class of equations with isotropic growth conditions, which are a generalization of the $p$-Laplace type equations in this respect; these also include all equations with polynomial or exponential type growth. In addition, some even more general conditions have also been explored.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-09T22:35:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R03",
      "35J62",
      "35J70",
      "35J75"
    ],
    "keywords": [
      "heisenberg group",
      "quasilinear equations",
      "quasilinear elliptic equations",
      "laplace type equations",
      "isotropic growth conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}