{
  "id": "1410.5400",
  "version": "v1",
  "published": "2014-10-20T19:23:11.000Z",
  "updated": "2014-10-20T19:23:11.000Z",
  "title": "On finite Morse index solutions of higher order fractional Lane-Emden equations",
  "authors": [
    "Mostafa Fazly",
    "Juncheng Wei"
  ],
  "comment": "Submitted. 19 pages. Comments are welcome. For updates see http://www.math.ualberta.ca/~fazly/research.html and http://www.math.ubc.ca/~jcwei/publicationpreprint.html",
  "categories": [
    "math.AP"
  ],
  "abstract": "We classify finite Morse index solutions of the fractional Lane-Emden equation $(-\\Delta)^{s} u=|u|^{p-1} u \\ \\ \\ \\mathbb{R}^n $ for $1<s<2$. For the local case, $s=1$ and $s=2$ this classification was done by Farina in [10] and Davila, Dupaigne, Wang and Wei in [8], respectively. Moreover, for the nonlocal case, $0<s<1$, finite Morse index solutions are classified by Davila, Dupaigne and Wei in [7].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-20T19:23:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite morse index solutions",
      "higher order fractional lane-emden equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.5400F"
    }
  }
}