{
  "id": "2502.08627",
  "version": "v1",
  "published": "2025-02-12T18:29:04.000Z",
  "updated": "2025-02-12T18:29:04.000Z",
  "title": "Calderón-Zygmund estimates for higher order elliptic equations in Orlicz-Sobolev spaces",
  "authors": [
    "Julián Fernández Bonder",
    "Pablo Ochoa",
    "Analía Silva"
  ],
  "comment": "20 pages, submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we obtain Calder\\'on-Zygmund estimates for the laplacian of the following fourth order quasilinear elliptic problem $$ \\Delta(g(\\Delta u)\\Delta u) = \\Delta(g(\\Delta f)\\Delta f). $$ where the primitive of $g(t)t$, $G(t)$, is an $N-$function. We prove that if $G(f)\\in L^q$, then $G(\\Delta u)\\in L^q$ for $q\\ge 1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-12T18:29:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "35P30",
      "35D30"
    ],
    "keywords": [
      "higher order elliptic equations",
      "calderón-zygmund estimates",
      "orlicz-sobolev spaces",
      "fourth order quasilinear elliptic problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}