{
  "id": "2301.06537",
  "version": "v1",
  "published": "2023-01-16T17:46:42.000Z",
  "updated": "2023-01-16T17:46:42.000Z",
  "title": "On the Pohozaev identity for the fractional $p$-Laplacian operator in $\\mathbb{R}^N$",
  "authors": [
    "Vincenzo Ambrosio"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional $p$-Laplacian operator and a Berestycki-Lions type nonlinearity. This solution satisfies a Pohozaev identity. Moreover, we prove that any sufficiently smooth solution fulfills the Pohozaev identity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-16T17:46:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pohozaev identity",
      "laplacian operator",
      "fractional",
      "nontrivial weak solution",
      "berestycki-lions type nonlinearity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}