{
  "id": "2107.04999",
  "version": "v1",
  "published": "2021-07-11T09:02:32.000Z",
  "updated": "2021-07-11T09:02:32.000Z",
  "title": "On the Classification of Stable Solutions of some elliptic equations in half-space",
  "authors": [
    "Foued Mtiri",
    "Abdelbaki Selmi",
    "Cherif Zaidi"
  ],
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "In this paper, we are concerned with stable solutions , possibly unbounded and sign-changing, of some semi-linear elliptic problem with mixed nonlinear boundary conditions. We establish the nonexistence of stable solutions, the main methods used are the Pohozaev identity, monotonicity formula of solutions together with a blowing down sequence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-11T09:02:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stable solutions",
      "elliptic equations",
      "half-space",
      "classification",
      "mixed nonlinear boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}