{
  "id": "2003.10380",
  "version": "v1",
  "published": "2020-03-23T16:49:25.000Z",
  "updated": "2020-03-23T16:49:25.000Z",
  "title": "Elliptic Equations With Degenerate weights",
  "authors": [
    "Anna Kh. Balci",
    "Lars Diening",
    "Raffaella Giova",
    "Antonia Passarelli di Napoli"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition on the weight M. In particular, we assume smallness of the logarithm of the matrix-valued weight in BMO. This allows to include degenerate, discontinuous weights. We provide examples that show the sharpness of the estimates in terms of the log-BMO-norm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-23T16:49:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35J70",
      "35R05"
    ],
    "keywords": [
      "elliptic equations",
      "degenerate weights",
      "novel log-bmo condition",
      "local calderon-zygmund estimates",
      "matrix-valued weight"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}