{
  "id": "1606.06413",
  "version": "v1",
  "published": "2016-06-21T04:01:21.000Z",
  "updated": "2016-06-21T04:01:21.000Z",
  "title": "Stability of positive solutions to biharmonic equations on Heisenberg group",
  "authors": [
    "Gaurav Dwivedi",
    "Jagmohan Tyagi"
  ],
  "comment": "11 Pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this note, we establish the existence of a positive solution and its stability to the following problem $$\\Delta_{\\mathbb{H}^n}^2u=a(\\xi)u-f(\\xi,u)\\text{ in }\\Omega, \\,\\,\\, u|_{\\partial\\Omega} = 0 =\\left.\\Delta_{\\mathbb{H}^n} u\\right|_{\\partial\\Omega},$$ on Heisenberg group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-21T04:01:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B35",
      "35B09",
      "35J91",
      "35R03"
    ],
    "keywords": [
      "heisenberg group",
      "positive solution",
      "biharmonic equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}