{
  "id": "2312.03923",
  "version": "v1",
  "published": "2023-12-06T21:48:08.000Z",
  "updated": "2023-12-06T21:48:08.000Z",
  "title": "The concentration-compactness principle for fractional Orlicz-Sobolev spaces",
  "authors": [
    "Sabri Bahrouni",
    "Olimpio Miyagaki"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we delve into the well-known concentration-compactness principle in fractional Orlicz-Sobolev spaces, and we apply it to establish the existence of a weak solution for a critical elliptic problem involving the fractional $g-$Laplacian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-06T21:48:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional orlicz-sobolev spaces",
      "well-known concentration-compactness principle",
      "critical elliptic problem",
      "weak solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}