{
  "id": "2008.05543",
  "version": "v1",
  "published": "2020-08-12T19:31:22.000Z",
  "updated": "2020-08-12T19:31:22.000Z",
  "title": "Interior and up to the boundary regularity for the fractional $g$-Laplacian: the convex case",
  "authors": [
    "Julián Fernández Bonder",
    "Ariel Salort",
    "Hernán Vivas"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish interior and up to the boundary H\\\"older regularity estimates for weak solutions of the Dirichlet problem for the fractional $g-$Laplacian with bounded right hand side and $g$ convex. These are the first regularity results available in the literature for integro-differential equations in the context of fractional Orlicz-Sobolev spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-12T19:31:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convex case",
      "boundary regularity",
      "first regularity results",
      "bounded right hand side",
      "fractional orlicz-sobolev spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}