{
  "id": "2006.06276",
  "version": "v1",
  "published": "2020-06-11T09:32:34.000Z",
  "updated": "2020-06-11T09:32:34.000Z",
  "title": "The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth",
  "authors": [
    "Allami Benyaiche",
    "Petteri Harjulehto",
    "Peter Hästö",
    "Arttu Karppinen"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study unbounded weak supersolutions of elliptic partial differential equations with generalized Orlicz (Musielak--Orlicz) growth. We show that they satisfy the weak Harnack inequality with optimal exponent provided that they belong to a suitable Lebesgue or Sobolev space. Furthermore, we establish the sharpness of our central assumptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-11T09:32:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35B65",
      "31C45"
    ],
    "keywords": [
      "weak harnack inequality",
      "generalized orlicz growth",
      "unbounded supersolutions",
      "elliptic partial differential equations",
      "study unbounded weak supersolutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}