{
  "id": "1604.07699",
  "version": "v1",
  "published": "2016-04-26T14:49:13.000Z",
  "updated": "2016-04-26T14:49:13.000Z",
  "title": "Some Properties of DeGiorgi Classes",
  "authors": [
    "Emmanuele DiBenedetto",
    "Ugo Gianazza"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The DeGiorgi classes $[DG]_p(E;\\gamma)$, defined in (1.1)${}_{\\pm}$ below encompass, solutions of quasilinear elliptic equations with measurable coefficients as well as minima and Q-minima of variational integrals. For these classes we present some new results (\\S 2 and \\S 3.1), and some known facts scattered in the literature (\\S 3-\\S 5), and formulate some open issues (\\S 6).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-26T14:49:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J15",
      "49N60",
      "35J92"
    ],
    "keywords": [
      "degiorgi classes",
      "properties",
      "quasilinear elliptic equations",
      "variational integrals",
      "open issues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160407699D"
    }
  }
}