{
  "id": "2111.03385",
  "version": "v2",
  "published": "2021-11-05T10:46:57.000Z",
  "updated": "2021-12-01T11:23:19.000Z",
  "title": "A monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue",
  "authors": [
    "Nunzia Gavitone",
    "Gianpaolo Piscitelli"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we consider the first Steklov-Dirichlet eigenvalue of the Laplace operator in annular domain with a spherical hole. We prove a monotonicity result with respect the hole when the outer region is centrally symmetrc.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2021-12-01T11:23:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first steklov-dirichlet laplacian eigenvalue",
      "monotonicity result",
      "first steklov-dirichlet eigenvalue",
      "outer region",
      "laplace operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}