{
  "id": "1103.4779",
  "version": "v1",
  "published": "2011-03-24T14:47:57.000Z",
  "updated": "2011-03-24T14:47:57.000Z",
  "title": "Poincaré Sobolev equations in the Hyperbolic space",
  "authors": [
    "Mousomi Bhakta",
    "K. Sandeep"
  ],
  "journal": "Calc. Var. Partial Differential Equations, Vol. 44, No. 1-2, 2012",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the a priori estimates,existence/nonexistence of radial sign changing solution, and the Palais-Smale characterisation of the problem $-\\De_{\\Bn}u - \\la u = |u|^{p-1}u, u\\in H^1(\\Bn)$ in the hyperbolic space $\\Bn$ where $1<p\\leq\\frac{N+2}{N-2}$. We will also prove the existence of sign changing solution to the Hardy-Sobolev-Mazya equation and the critical Grushin problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-24T14:47:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35A15"
    ],
    "keywords": [
      "hyperbolic space",
      "sobolev equations",
      "radial sign changing solution",
      "palais-smale characterisation",
      "critical grushin problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.4779B"
    }
  }
}