{
  "id": "2304.14858",
  "version": "v1",
  "published": "2023-04-28T14:10:16.000Z",
  "updated": "2023-04-28T14:10:16.000Z",
  "title": "Gradient higher integrability for double phase problems on metric measure spaces",
  "authors": [
    "Juha Kinnunen",
    "Antonella Nastasi",
    "Cintia Pacchiano Camacho"
  ],
  "categories": [
    "math.AP",
    "math.MG"
  ],
  "abstract": "We study local and global higher integrability properties for quasiminimizers of a class of double-phase integrals characterized by nonstandard growth conditions. We work purely on a variational level in the setting of a metric measure space with a doubling measure and a Poincar\\'e inequality. The main novelty is an intrinsic approach to double-phase Sobolev-Poincar\\'e inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-28T14:10:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49N60",
      "35J60",
      "30L99",
      "46E35"
    ],
    "keywords": [
      "metric measure space",
      "gradient higher integrability",
      "double phase problems",
      "global higher integrability properties",
      "double-phase sobolev-poincare inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}