{
  "id": "1610.09509",
  "version": "v1",
  "published": "2016-10-29T13:49:55.000Z",
  "updated": "2016-10-29T13:49:55.000Z",
  "title": "Remarks on Local Boundedness and Local Hölder Continuity of Local Weak Solutions to Anisotropic $p$-Laplacian Type Equations",
  "authors": [
    "Emmanuele DiBenedetto",
    "Ugo Gianazza",
    "Vincenzo Vespri"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Locally bounded, local weak solutions to a special class of quasilinear, anisotropic, $p$-Laplacian type elliptic equations, are shown to be locally H\\\"older continuous. Homogeneous local upper bounds are established for local weak solutions to a general class of quasilinear anisotropic equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-29T13:49:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J70",
      "35J92",
      "35B65",
      "35B45"
    ],
    "keywords": [
      "local weak solutions",
      "local hölder continuity",
      "laplacian type equations",
      "local boundedness",
      "laplacian type elliptic equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}