{
  "id": "1208.2545",
  "version": "v2",
  "published": "2012-08-13T11:05:11.000Z",
  "updated": "2013-01-28T10:55:08.000Z",
  "title": "Ground state solutions for nonlinear fractional Schrödinger equations in $\\mathbb{R}^N$",
  "authors": [
    "Simone Secchi"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We construct solutions to a class of Schr\\\"{o}dinger equations involving the fractional laplacian. Our approach is variational in nature, and based on minimization on the Nehari manifold.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-28T10:55:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35A15",
      "35J20",
      "03.65.Ge",
      "02.30.Hq",
      "02.30.Xx"
    ],
    "keywords": [
      "nonlinear fractional schrödinger equations",
      "ground state solutions",
      "fractional laplacian",
      "construct solutions",
      "nehari manifold"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.4793990",
      "journal": "Journal of Mathematical Physics",
      "year": 2013,
      "month": "Mar",
      "volume": 54,
      "number": 3,
      "pages": 1501
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JMP....54c1501S"
    }
  }
}