{
  "id": "1104.3666",
  "version": "v2",
  "published": "2011-04-19T08:03:54.000Z",
  "updated": "2011-05-01T12:59:38.000Z",
  "title": "Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space",
  "authors": [
    "Matteo Bonforte",
    "Filippo Gazzola",
    "Gabriele Grillo",
    "Juan Luis Vázquez"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the Emden-Fowler equation $-\\Delta u=|u|^{p-1}u$ on the hyperbolic space ${\\mathbb H}^n$. We are interested in radial solutions, namely solutions depending only on the geodesic distance from a given point. The critical exponent for such equation is $p=(n+2)/(n-2)$ as in the Euclidean setting, but the properties of the solutions show striking differences with the Euclidean case. While the papers \\cite{mancini, bhakta} consider finite energy solutions, we shall deal here with infinite energy solutions and we determine the exact asymptotic behavior of wide classes of finite and infinite energy solutions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-05-01T12:59:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "radial solutions",
      "emden-fowler equation",
      "hyperbolic space",
      "infinite energy solutions",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.3666B"
    }
  }
}