{
  "id": "1210.0755",
  "version": "v2",
  "published": "2012-10-02T12:48:52.000Z",
  "updated": "2014-02-11T10:38:34.000Z",
  "title": "On fractional Schrödinger equations in (\\mathbb{R}^N) without the Ambrosetti-Rabinowitz condition",
  "authors": [
    "Simone Secchi"
  ],
  "comment": "26 pages. To appear on Topological Methods In Nonlinear Analysis",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this note we prove the existence of radially symmetric solutions for a class of fractional Schr\\\"odinger equation in (\\mathbb{R}^N) of the form {equation*} \\slap u + V(x) u = g(u), {equation*} where the nonlinearity $g$ does not satisfy the usual Ambrosetti-Rabinowitz condition. Our approach is variational in nature, and leans on a Pohozaev identity for the fractional laplacian.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-11T10:38:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35A15",
      "35J20"
    ],
    "keywords": [
      "fractional schrödinger equations",
      "usual ambrosetti-rabinowitz condition",
      "radially symmetric solutions",
      "pohozaev identity",
      "fractional laplacian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.0755S"
    }
  }
}