{
  "id": "math/0701292",
  "version": "v2",
  "published": "2007-01-10T16:15:06.000Z",
  "updated": "2007-07-18T07:52:58.000Z",
  "title": "On the behavior of solutions to Schrödinger equations with dipole-type potentials near the singularity",
  "authors": [
    "Veronica Felli",
    "Elsa M. Marchini",
    "Susanna Terracini"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "Asymptotics of solutions to Schroedinger equations with singular dipole-type potentials is investigated. We evaluate the exact behavior near the singularity of solutions to elliptic equations with potentials which are purely angular multiples of radial inverse-square functions. Both the linear and the semilinear (critical and subcritical) cases are considered.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-07-18T07:52:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "35B40",
      "35J60"
    ],
    "keywords": [
      "schrödinger equations",
      "singularity",
      "radial inverse-square functions",
      "singular dipole-type potentials",
      "schroedinger equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1292F"
    }
  }
}