{
  "id": "1901.06131",
  "version": "v1",
  "published": "2019-01-18T08:47:15.000Z",
  "updated": "2019-01-18T08:47:15.000Z",
  "title": "On the boundary Hölder regularity for the infinity Laplace equation",
  "authors": [
    "Leyun Wu",
    "Yuanyuan Lian",
    "Kai Zhang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this note, we prove the boundary H\\\"{o}lder regularity for the infinity Laplace equation under a proper geometric condition. This geometric condition is quite general, and the exterior cone condition, the Reifenberg flat domains, and the corkscrew domains (including the non-tangentially accessible domains) are special cases. The key idea, following [3], is that the strong maximum principle and the scaling invariance imply the boundary H\\\"{o}lder regularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-18T08:47:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35J25",
      "35B50",
      "35J67"
    ],
    "keywords": [
      "infinity laplace equation",
      "boundary hölder regularity",
      "reifenberg flat domains",
      "exterior cone condition",
      "proper geometric condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}