{
  "id": "1307.1047",
  "version": "v2",
  "published": "2013-07-03T15:32:12.000Z",
  "updated": "2015-04-16T08:52:00.000Z",
  "title": "On Semilinear Elliptic Equation with Measurable Nonlinearity",
  "authors": [
    "Oleg Zubelevich"
  ],
  "comment": "this paper has been withdrawn by the author due to the results on the whole are not new",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a semilinear elliptic equation in a bounded domain with zero boundary conditions. The nonlinearity is discontinuous and monotone, but it is not a Carath\\'eodory's function. The existence theorem has been proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-03T15:32:12.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-16T08:52:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J61",
      "35J25"
    ],
    "keywords": [
      "semilinear elliptic equation",
      "measurable nonlinearity",
      "zero boundary conditions",
      "existence theorem",
      "caratheodorys function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1047Z"
    }
  }
}