{
  "id": "0808.1622",
  "version": "v1",
  "published": "2008-08-12T09:02:33.000Z",
  "updated": "2008-08-12T09:02:33.000Z",
  "title": "The nonlinear Schrödinger equations with combined nonlinearities of power-type and Hartree",
  "authors": [
    "Daoyuan Fang",
    "Zheng Han"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is devoted to a comprehensive study of the nonlinear Schr\\\"odinger equations with combined nonlinearities of the power-type and Hartree-type in any dimension n\\ge3. With some structural conditions, a nearly whole picture of the interactions of these nonlinearities in the energy space is given. The method is based on the Morawetz estimates and perturbation principles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-12T09:02:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35Q55",
      "47J35"
    ],
    "keywords": [
      "nonlinear schrödinger equations",
      "nonlinearities",
      "power-type",
      "structural conditions",
      "energy space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.1622F"
    }
  }
}