{
  "id": "1511.04644",
  "version": "v1",
  "published": "2015-11-15T02:28:17.000Z",
  "updated": "2015-11-15T02:28:17.000Z",
  "title": "The peak of the solution of elliptic equations",
  "authors": [
    "Janpou Nee"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The location of critical points corresponding to both Dirichlet and Neumann boundary condition are concerned. A counter example of inheritance of convexity of domain is given, then using Pohozeav identity locally, the location of critical points of Neumann boundary value problem and the uniqueness of local extrema of Dirichlet boundary value problem are studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-15T02:28:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J57",
      "35J61"
    ],
    "keywords": [
      "elliptic equations",
      "dirichlet boundary value problem",
      "neumann boundary value problem",
      "neumann boundary condition",
      "critical points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151104644N"
    }
  }
}