{
  "id": "2207.06274",
  "version": "v1",
  "published": "2022-07-13T15:19:18.000Z",
  "updated": "2022-07-13T15:19:18.000Z",
  "title": "A non-local semilinear eigenvalue problem",
  "authors": [
    "Giovanni Franzina",
    "Danilo Licheri"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "For a non-local semilinear eigenvalue problem, we prove simplicity and isolation of the first eigenvalue with homogeneous Dirichlet boundary conditions on open sets supporting a suitable compact Sobolev embedding.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-13T15:19:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P30",
      "49R05"
    ],
    "keywords": [
      "non-local semilinear eigenvalue problem",
      "homogeneous dirichlet boundary conditions",
      "open sets",
      "suitable compact sobolev",
      "first eigenvalue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}