{
  "id": "1506.03653",
  "version": "v1",
  "published": "2015-06-11T12:46:40.000Z",
  "updated": "2015-06-11T12:46:40.000Z",
  "title": "Classification of positive $\\mathcal {D}^{1,p}(\\R^N)$-solutions to the critical $p$-Laplace equation in $\\mathbb{R}^N$",
  "authors": [
    "Berardino Sciunzi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We provide the classification of the positive solutions to $-\\Delta_p u =u^{p^*-1}$ in $\\mathcal {D}^{1,p}(\\R^N)$ in the case $2<p<N$. Since the case $1<p\\leq2$ is already known this provides the complete classification for $1<p<N$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-11T12:46:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "laplace equation",
      "complete classification",
      "positive solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150603653S"
    }
  }
}