{
  "id": "1803.02014",
  "version": "v1",
  "published": "2018-03-06T04:49:22.000Z",
  "updated": "2018-03-06T04:49:22.000Z",
  "title": "Properties of solutions to some weighted $p$-Laplacian equation",
  "authors": [
    "Prashanta Garain"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by \\[-\\operatorname{div}(w|\\nabla u|^{p-2}\\nabla u)=f(x,u);\\;\\;w\\in \\mathcal{A}_p\\] on smooth domain and for varying nonlinearity $f$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-06T04:49:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J70",
      "35J62",
      "35A01"
    ],
    "keywords": [
      "laplacian equation",
      "degenerate elliptic equation",
      "smooth domain",
      "positive solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}