{
  "id": "1509.01969",
  "version": "v1",
  "published": "2015-09-07T10:04:50.000Z",
  "updated": "2015-09-07T10:04:50.000Z",
  "title": "The $\\infty(x)$-equation in Grushin-type Spaces",
  "authors": [
    "Thomas Bieske"
  ],
  "categories": [
    "math.AP",
    "math.DG",
    "math.MG",
    "math.OC"
  ],
  "abstract": "We employ Grushin jets which are adapted to the geometry of Grushin-type spaces to obtain the existence-uniqueness of viscosity solutions to the $\\infty(x)$-Laplace equation in Grushin-type spaces. Due to the differences between Euclidean jets and Grushin jets, the Euclidean method of proof is not valid in this environment.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-07T10:04:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35H20",
      "53C17",
      "49L25",
      "17B70"
    ],
    "keywords": [
      "grushin-type spaces",
      "employ grushin jets",
      "viscosity solutions",
      "laplace equation",
      "euclidean jets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150901969B"
    }
  }
}