{
  "id": "1502.03968",
  "version": "v1",
  "published": "2015-02-13T12:55:20.000Z",
  "updated": "2015-02-13T12:55:20.000Z",
  "title": "Gradient Estimates for Solutions To Quasilinear Elliptic Equations with Critical Sobolev Growth and Hardy Potential",
  "authors": [
    "Chang-Lin Xiang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This note is a continuation of the work \\cite{CaoXiangYan2014}. We study 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 $Q\\in L^{\\infty}(\\R^{N})$. Optimal asymptotic estimates on the gradient of solutions are obtained both at the origin and at the infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-13T12:55:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35B33"
    ],
    "keywords": [
      "quasilinear elliptic equations",
      "critical sobolev growth",
      "hardy potential",
      "gradient estimates",
      "optimal asymptotic estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}