{
  "id": "1509.01974",
  "version": "v1",
  "published": "2015-09-07T10:23:07.000Z",
  "updated": "2015-09-07T10:23:07.000Z",
  "title": "The $\\infty(x)$-equation in Riemannian Vector Fields",
  "authors": [
    "Thomas Bieske"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1509.01969",
  "journal": "Electronic Journal of Differential Equations Vol. 2015 (2015), No. 164, pp. 1-9",
  "categories": [
    "math.AP",
    "math.DG",
    "math.MG",
    "math.OC"
  ],
  "abstract": "We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of viscosity solutions to the $\\infty(x)$-Laplace equation in Riemannian vector fields. Due to the differences between Euclidean jets and Riemannian jets, the Euclidean method of proof is not valid in this environment.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-07T10:23:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35H20",
      "53C17",
      "49L25",
      "31B05",
      "31C12"
    ],
    "keywords": [
      "riemannian vector fields",
      "employ riemannian jets",
      "riemannian geometry",
      "viscosity solutions",
      "laplace equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}