{
  "id": "1506.01550",
  "version": "v1",
  "published": "2015-06-04T11:23:42.000Z",
  "updated": "2015-06-04T11:23:42.000Z",
  "title": "Uniqueness and Nondegeneracy of Ground States for Choquard Equations in three dimensions",
  "authors": [
    "Chang-Lin Xiang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We obtain uniqueness and nondegeneracy results for ground states of Choquard equations $-\\Delta u+u=\\left(|x|^{-1}\\ast|u|^{p}\\right)|u|^{p-2}u$ in $\\mathbb{R}^{3}$, provided that $p>2$ and $p$ is sufficiently close to 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-04T11:23:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A02",
      "35B20",
      "35J61"
    ],
    "keywords": [
      "choquard equations",
      "ground states",
      "uniqueness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150601550X"
    }
  }
}