{
  "id": "1401.4549",
  "version": "v1",
  "published": "2014-01-18T15:45:38.000Z",
  "updated": "2014-01-18T15:45:38.000Z",
  "title": "Non-stability of Paneitz-Branson equations in arbitrary dimensions",
  "authors": [
    "Laurent Bakri",
    "Jean-Baptiste Castéras"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Let $(M,g)$ be a compact riemannian manifold of dimension $n\\geq 5$. We are interested in the stability of a slighly subcritical Paneitz-Branson type equation on $M$. Assuming that there exists a positive nondegenerate solution of the critical equation and under suitable conditions, we prove that this equation is not stable for all $n\\geq 5$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-18T15:45:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary dimensions",
      "paneitz-branson equations",
      "non-stability",
      "compact riemannian manifold",
      "slighly subcritical paneitz-branson type equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.4549B"
    }
  }
}