{
  "id": "2003.13581",
  "version": "v1",
  "published": "2020-03-30T15:56:43.000Z",
  "updated": "2020-03-30T15:56:43.000Z",
  "title": "Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces",
  "authors": [
    "Sabri Bahrouni",
    "Ariel Salort"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In the first part of this article we deal with the existence of at least three non-trivial weak solutions of a nonlocal problem with nonstandard growth involving a nonlocal Robin type boundary condition. The second part of the article is devoted to study eigenvalues and minimizers of several nonlocal problems for the fractional $g-$Laplacian $(-\\Delta_g)^s$ with different boundary conditions, namely, Dirichlet, Neumann and Robin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-30T15:56:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional orlicz-sobolev spaces",
      "nonlocal robin type boundary condition",
      "nonlocal problem",
      "non-trivial weak solutions",
      "second part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}