{
  "id": "1904.10713",
  "version": "v1",
  "published": "2019-04-24T09:37:52.000Z",
  "updated": "2019-04-24T09:37:52.000Z",
  "title": "Asymptotically regular operators in generalized Morrey spaces",
  "authors": [
    "Sun-Sig Byun",
    "Lubomira Softova"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We obtain Calder\\'on-Zygmund type estimates in generalized Morrey spaces for nonlinear equations of $p$-Laplacian type. Our result is obtained under minimal regularity assumptions both on the operator and on the domain. This result allows us to study asymptotically regular operators. As a byproduct, we obtain also generalized H\\\"older regularity of the solutions under some minimal restrictions of the weight functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-24T09:37:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60"
    ],
    "keywords": [
      "generalized morrey spaces",
      "calderon-zygmund type estimates",
      "study asymptotically regular operators",
      "minimal regularity assumptions",
      "minimal restrictions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}