{
  "id": "0806.0342",
  "version": "v1",
  "published": "2008-06-02T17:39:38.000Z",
  "updated": "2008-06-02T17:39:38.000Z",
  "title": "The principal eigenvalue of the $\\infty$-Laplacian with the Neumann boundary condition",
  "authors": [
    "Stefania Patrizi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the existence of a principal eigenvalue associated to the $\\infty$-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-02T17:39:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "neumann boundary condition",
      "principal eigenvalue",
      "laplacian plus lower order terms",
      "neumann evolution problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.0342P"
    }
  }
}