{
  "id": "2006.15341",
  "version": "v1",
  "published": "2020-06-27T11:34:59.000Z",
  "updated": "2020-06-27T11:34:59.000Z",
  "title": "Hölder continuity for the $p$-Laplace equation using a differential inequality",
  "authors": [
    "Fredrik Arbo Høeg"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study H\\\"older continuity for solutions of the $p$-Laplace equation. This is established through a method involving an ordinary differential inequality, in contrast to the classical proof of the De Giorgi-Nash-Moser Theorem which uses iteration of an inequality through concentric balls.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-27T11:34:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J15",
      "35J92"
    ],
    "keywords": [
      "laplace equation",
      "hölder continuity",
      "ordinary differential inequality",
      "giorgi-nash-moser theorem",
      "concentric balls"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}