{
  "id": "1806.06048",
  "version": "v1",
  "published": "2018-06-15T17:17:59.000Z",
  "updated": "2018-06-15T17:17:59.000Z",
  "title": "Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions",
  "authors": [
    "Alberto Boscaggin",
    "Francesca Colasuonno",
    "Benedetta Noris"
  ],
  "comment": "13 pages, 4 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We analyze existence, multiplicity and oscillatory behavior of positive radial solutions to a class of quasilinear equations governed by the Lorentz-Minkowski mean curvature operator. The equation is set in a ball or an annulus of $\\mathbb R^N$, is subject to homogeneous Neumann boundary conditions, and involves a nonlinear term on which we do not impose any growth condition at infinity. The main tool that we use is the shooting method for ODEs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-15T17:17:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J62",
      "35B05",
      "35A24",
      "35B09",
      "34B18"
    ],
    "keywords": [
      "positive radial solutions",
      "minkowski-curvature equation",
      "lorentz-minkowski mean curvature operator",
      "homogeneous neumann boundary conditions",
      "oscillatory behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}