{
  "id": "2308.10222",
  "version": "v1",
  "published": "2023-08-20T10:11:53.000Z",
  "updated": "2023-08-20T10:11:53.000Z",
  "title": "Regularity for double phase problems at nearly linear growth",
  "authors": [
    "Cristiana De Filippis",
    "Giuseppe Mingione"
  ],
  "comment": "50 pages",
  "journal": "Arch. Ration. Mech. Anal. 247:85, (2023)",
  "doi": "10.1007/s00205-023-01907-3",
  "categories": [
    "math.AP"
  ],
  "abstract": "Minima of functionals of the type $$ w\\mapsto \\int_{\\Omega}\\left[\\snr{Dw}\\log(1+\\snr{Dw})+a(x)\\snr{Dw}^{q}\\right] \\dx\\,, \\quad 0\\leq a(\\cdot) \\in C^{0, \\alpha}\\,,$$ with $\\Omega \\subset \\er^n$, have locally H\\\"older continuous gradient provided $1 < q < 1+\\alpha/n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-20T10:11:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "double phase problems",
      "linear growth",
      "regularity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}