{
  "id": "1710.07329",
  "version": "v1",
  "published": "2017-10-19T19:33:07.000Z",
  "updated": "2017-10-19T19:33:07.000Z",
  "title": "Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature",
  "authors": [
    "Serena Dipierro",
    "Andrea Pinamonti",
    "Enrico Valdinoci"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We present a geometric formula of Poincar\\'e type, which is inspired by a classical work of Sternberg and Zumbrun, and we provide a classification result of stable solutions of linear elliptic problems with nonlinear Robin conditions on Riemannian manifolds with nonnegative Ricci curvature. The result obtained here is a refinement of a result recently established by Bandle, Mastrolia, Monticelli and Punzo.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-19T19:33:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonnegative ricci curvature",
      "nonlinear boundary conditions",
      "boundary value problems",
      "riemannian manifolds",
      "stable solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}