{
  "id": "1111.1888",
  "version": "v1",
  "published": "2011-11-08T12:43:22.000Z",
  "updated": "2011-11-08T12:43:22.000Z",
  "title": "A minimization method and applications to the study of solitons",
  "authors": [
    "Vieri Benci",
    "Donato Fortunato"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1103.1131",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet and which preserves this localization in time. A soliton is a solitary wave which exhibits some strong form of stability so that it has a particle-like behavior. In this paper, we prove a general, abstract theorem (Theorem 26) which allows to prove the ex istence of a class of solitons. Such solitons are suitable minimizers of a constrained functional and they are called hylomorphic solitons. Then we apply the abstract theory to problems related to the nonlinear Schr\\\"odinger equation (NSE) and to the nonlinear Klein-Gordon equation (NKG).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-08T12:43:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47J30",
      "35J50",
      "35Q55",
      "35Q51",
      "37K45"
    ],
    "keywords": [
      "minimization method",
      "applications",
      "solitary wave",
      "nonlinear klein-gordon equation",
      "energy travels"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.1888B"
    }
  }
}