{
  "id": "1502.03966",
  "version": "v1",
  "published": "2015-02-13T12:50:23.000Z",
  "updated": "2015-02-13T12:50:23.000Z",
  "title": "Asymptotic Behaviors of Solutions to quasilinear elliptic Equations with critical Sobolev growth and Hardy potential",
  "authors": [
    "Chang-Lin Xiang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Optimal estimates on the asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations \\[-\\Delta_{p}u-\\frac{\\mu}{|x|^{p}}|u|^{p-2}u=Q(x)|u|^{\\frac{Np}{N-p}-2}u,\\quad\\,x\\in \\mathbb{R}^{N},\\] where $1<p<N, 0\\leq\\mu<\\left({(N-p)}/{p}\\right)^{p}$ and $Q\\in L^{\\infty}(\\mathbb{R}^{N})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-13T12:50:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35B33"
    ],
    "keywords": [
      "quasilinear elliptic equations",
      "critical sobolev growth",
      "asymptotic behaviors",
      "hardy potential",
      "optimal estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}