{
  "id": "1906.01866",
  "version": "v1",
  "published": "2019-06-05T07:51:56.000Z",
  "updated": "2019-06-05T07:51:56.000Z",
  "title": "Hölder continuity of quasiminimizers and $ω$-minimizers of functionals with generalized Orlicz growth",
  "authors": [
    "Petteri Harjulehto",
    "Peter Hästö",
    "Mikyoung Lee"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We show local H\\\"older continuity of quasiminimizers of functionals with non-standard (Musielak--Orlicz) growth. Compared with previous results, we cover more general minimizing functionals and need fewer assumptions. We prove Harnack's inequality and a Morrey type estimate for quasiminimizers. Combining this with Ekeland's variational principle, we obtain local H\\\"older continuity for $\\omega$-minimizers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-05T07:51:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized orlicz growth",
      "hölder continuity",
      "quasiminimizers",
      "morrey type estimate",
      "ekelands variational principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}