{
  "id": "math/0703808",
  "version": "v1",
  "published": "2007-03-27T14:17:36.000Z",
  "updated": "2007-03-27T14:17:36.000Z",
  "title": "Symmetry and Asymmetry: The Method of Moving Spheres",
  "authors": [
    "Qinian Jin",
    "Yanyan Li",
    "Haoyuan Xu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider some nonlinear elliptic equations on ${\\mathbb R}^n$ and ${\\mathbb S}^n$. By the method of moving spheres, we obtain the symmetry properties of solutions and some nonexistence results. Moreover, by the global bifurcation theory, we obtain a multiplicity result for a class of semilinear elliptic equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-27T14:17:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60"
    ],
    "keywords": [
      "moving spheres",
      "global bifurcation theory",
      "semilinear elliptic equations",
      "nonlinear elliptic equations",
      "symmetry properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3808J"
    }
  }
}