{
  "id": "1409.2748",
  "version": "v1",
  "published": "2014-09-09T14:22:49.000Z",
  "updated": "2014-09-09T14:22:49.000Z",
  "title": "Partial symmetry and existence of least energy solutions to some nonlinear elliptic equations on Riemannian models",
  "authors": [
    "E. Berchio",
    "A. Ferrero",
    "M. Vallarino"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We consider least energy solutions to the nonlinear equation $-\\Delta_g u=f(r,u)$ posed on a class of Riemannian models $(M,g)$ of dimension $n\\ge 2$ which include the classical hyperbolic space $\\mathbb H^n$ as well as manifolds with unbounded sectional geometry. Partial symmetry and existence of least energy solutions is proved for quite general nonlinearities $f(r,u)$, where $r$ denotes the geodesic distance from the pole of $M$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-09T14:22:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35B06",
      "58J05"
    ],
    "keywords": [
      "nonlinear elliptic equations",
      "energy solutions",
      "riemannian models",
      "partial symmetry",
      "quite general nonlinearities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}