{
  "id": "math/0402253",
  "version": "v3",
  "published": "2004-02-16T09:28:30.000Z",
  "updated": "2004-08-31T08:44:45.000Z",
  "title": "On the location of spikes for the Schrodinger equation with electromagnetic field",
  "authors": [
    "Simone Secchi",
    "Marco Squassina"
  ],
  "comment": "Final revision, accepted for publication",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the standing wave solutions of the three dimensional semilinear Schrodinger equation with competing potential functions $V$ and $K$ and under the action of an external electromagnetic vector field $A$. We establish some necessary conditions for a sequence of such solutions to concentrate, in two different senses, around a given point. In the particular but important case of nonlinearities of power type, we prove that the spikes locate at the critical points of a smooth ground energy map independent of $A$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-08-31T08:44:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J65",
      "35Q40",
      "35Q55",
      "83C50"
    ],
    "keywords": [
      "electromagnetic field",
      "smooth ground energy map independent",
      "dimensional semilinear schrodinger equation",
      "external electromagnetic vector field",
      "potential functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2253S"
    }
  }
}