{
  "id": "1701.00183",
  "version": "v1",
  "published": "2017-01-01T01:23:23.000Z",
  "updated": "2017-01-01T01:23:23.000Z",
  "title": "Pohozaev identity for the fractional $p-$Laplacian on $\\mathbb{R}^N$",
  "authors": [
    "Lorenzo Brasco",
    "Sunra Mosconi",
    "Marco Squassina"
  ],
  "comment": "35 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on $\\mathbb{R}^N$ involving the fractional $p-$Laplacian operator. Furthermore we provide an application of the identity to show that some relevant levels of the energy functional associated with the problem coincide.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-01T01:23:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34K37",
      "35R11",
      "35A01"
    ],
    "keywords": [
      "pohozaev identity",
      "fractional",
      "nonlinear nonlocal problems",
      "suitable approximation argument",
      "laplacian operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}