{
  "id": "1408.3023",
  "version": "v1",
  "published": "2014-08-13T14:59:56.000Z",
  "updated": "2014-08-13T14:59:56.000Z",
  "title": "The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with magnetic field",
  "authors": [
    "Claudianor O. Alves",
    "Rodrigo C. M. Nemer",
    "Sérgio H. M. Soares"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Based on some ideas introduced by Benci and Cerami \\cite{benci-cerami_calvar}, we obtain an abstract result that establishes a version of the Morse relations. Afterward, we use this result to prove multiplicity of solutions for a nonlinear Schr\\\"odinger equation with an external magnetic field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-13T14:59:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A15",
      "14E20",
      "35H30",
      "35Q55"
    ],
    "keywords": [
      "nonlinear schrödinger equation",
      "morse theory",
      "nontrivial solutions",
      "external magnetic field",
      "abstract result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.3023A"
    }
  }
}