{
  "id": "1409.7321",
  "version": "v1",
  "published": "2014-09-25T16:54:31.000Z",
  "updated": "2014-09-25T16:54:31.000Z",
  "title": "Concentration on minimal submanifolds for a Yamabe type problem",
  "authors": [
    "Shengbing Deng",
    "Monica Musso",
    "Angela Pistoia"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1107.5566",
  "categories": [
    "math.AP"
  ],
  "abstract": "We construct solutions to a Yamabe type problem on a Riemannian manifold M without boundary and of dimension greater than 2, with nonlinearity close to higher critical Sobolev exponents. These solutions concentrate their mass around a non degenerate minimal submanifold of M, provided a certain geometric condition involving the sectional curvatures is satisfied. A connection with the solution of a class of P.D.E.'s on the submanifold with a singular term of attractive or repulsive type is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-25T16:54:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "yamabe type problem",
      "concentration",
      "non degenerate minimal submanifold",
      "higher critical sobolev exponents",
      "dimension greater"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.7321D"
    }
  }
}