{
  "id": "2304.04499",
  "version": "v1",
  "published": "2023-04-10T10:26:44.000Z",
  "updated": "2023-04-10T10:26:44.000Z",
  "title": "A note on the weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth",
  "authors": [
    "Mariia O. Savchenko",
    "Igor I. Skrypnik",
    "Yevgeniia A. Yevgenieva"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the weak Harnack inequality for the functions $u$ which belong to the corresponding De Giorgi classes $DG^{-}(\\Omega)$ under the additional assumption that $u\\in L^{s}_{loc}(\\Omega)$ with some $s> 0$. In particular, our result covers new cases of functionals with a variable exponent or double-phase functionals under the non-logarithmic condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-10T10:26:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40",
      "35B45",
      "35B65"
    ],
    "keywords": [
      "weak harnack inequality",
      "generalized orlicz growth",
      "elliptic functionals",
      "unbounded minimizers",
      "giorgi classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}