{
  "id": "2210.03447",
  "version": "v1",
  "published": "2022-10-07T10:40:07.000Z",
  "updated": "2022-10-07T10:40:07.000Z",
  "title": "The solution of the $\\infty$-Laplace equation in the square",
  "authors": [
    "Karl K. Brustad"
  ],
  "comment": "15 pages, 2 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "By using the hodograph transform we are able to solve a Dirichlet problem for the $\\infty$-Laplace equation $\\Delta_\\infty u := \\nabla u\\mathcal{H} u\\nabla u^\\top = 0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-07T10:40:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "laplace equation",
      "hodograph transform",
      "dirichlet problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}