{
  "id": "1501.01775",
  "version": "v1",
  "published": "2015-01-08T09:24:10.000Z",
  "updated": "2015-01-08T09:24:10.000Z",
  "title": "A Note on Asymptotic Behaviors Of Solutions To Quasilinear Elliptic Equations with Hardy Potential",
  "authors": [
    "Cheng-Jun He",
    "Chang-Lin Xiang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Optimal estimates on asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations \\begin{eqnarray*} -\\Delta_{p}u-\\frac{\\mu}{|x|^{p}}|u|^{p-2}u+m|u|^{p-2}u=f(u), & & x\\in\\R^{N}, \\end{eqnarray*} where $1<p<N,0\\leq\\mu<\\left((N-p)/p\\right)^{p}$, $m>0$ and $f$ is a nonlinear function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-08T09:24:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40",
      "35J70"
    ],
    "keywords": [
      "quasilinear elliptic equations",
      "asymptotic behaviors",
      "hardy potential",
      "optimal estimates",
      "weak solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}