{
  "id": "2108.13829",
  "version": "v1",
  "published": "2021-08-31T13:36:30.000Z",
  "updated": "2021-08-31T13:36:30.000Z",
  "title": "Partial regularity result for non-autonomous elliptic systems with general growth",
  "authors": [
    "Teresa Isernia",
    "Chiara Leone",
    "Anna Verde"
  ],
  "journal": "Commun. Pure Appl. Anal. (2021)",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove a H\\\"older partial regularity result for weak solutions $u:\\Omega\\to \\mathbb{R}^N$, $N\\geq 2$, to non-autonomous elliptic systems with general growth of the type: \\begin{equation*} -\\rm{div}\\, a(x, u, Du)= b(x, u, Du) \\quad \\mbox{ in } \\Omega. \\end{equation*} The crucial point is that the operator $a$ satisfies very weak regularity properties and a general growth, while the inhomogeneity $b$ has a controllable growth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-31T13:36:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial regularity result",
      "non-autonomous elliptic systems",
      "general growth",
      "weak regularity properties",
      "weak solutions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}