{
  "id": "1911.13109",
  "version": "v1",
  "published": "2019-11-29T13:56:03.000Z",
  "updated": "2019-11-29T13:56:03.000Z",
  "title": "Multiplicity of solutions for the Minkowski-curvature equation via shooting method",
  "authors": [
    "Alberto Boscaggin",
    "Francesca Colasuonno",
    "Benedetta Noris"
  ],
  "comment": "18 pages, 4 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove the existence and the multiplicity of radial positive oscillatory solutions for a nonlinear problem governed by the mean curvature operator in the Lorentz-Minkowski space. The problem is set in a ball $B_R$ of $\\mathbb R^N$ and is subject to Neumann boundary conditions. The main tool used is the shooting method for ODEs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-29T13:56:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J62",
      "35B05",
      "35A24",
      "35B09",
      "34B18"
    ],
    "keywords": [
      "shooting method",
      "minkowski-curvature equation",
      "multiplicity",
      "neumann boundary conditions",
      "radial positive oscillatory solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}