{
  "id": "2010.13131",
  "version": "v1",
  "published": "2020-10-25T15:04:47.000Z",
  "updated": "2020-10-25T15:04:47.000Z",
  "title": "Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side",
  "authors": [
    "A. Lyaghfouri"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We show that bounded solutions of the quasilinear elliptic equation $\\Delta_{p(x)} u=g+div(\\textbf{F})$ are locally H\\\"{o}lder continuous provided that the functions $g$ and $\\textbf{F}$ are in suitable Lebesgue spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-25T15:04:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35J92"
    ],
    "keywords": [
      "general right-hand side",
      "hölder continuity",
      "quasilinear elliptic equation",
      "suitable lebesgue spaces",
      "bounded solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}