{
  "id": "2404.12053",
  "version": "v1",
  "published": "2024-04-18T10:08:15.000Z",
  "updated": "2024-04-18T10:08:15.000Z",
  "title": "Regularity results for Hölder minimizers to functionals with non-standard growth",
  "authors": [
    "Antonio Giuseppe Grimaldi",
    "Erica Ipocoana"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the regularity properties of H\\\"older continuous minimizers to non-autonomous functionals satisfying $(p,q)$-growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-18T10:08:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hölder minimizers",
      "non-standard growth",
      "regularity results",
      "higher differentiability results",
      "minimum problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}