{
  "id": "2306.14187",
  "version": "v1",
  "published": "2023-06-25T09:55:13.000Z",
  "updated": "2023-06-25T09:55:13.000Z",
  "title": "Symmetry for a quasilinear elliptic equation in Hyperbolic space",
  "authors": [
    "Ramya Dutta",
    "Sandeep Kunnath"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article we establish the radial symmetry of positive solutions of a p- Laplace equation in the Hyperbolic space, which is the Euler Lagrange equation of the p- Poincare Sobolev inequality in the Hyperbolic space. We will also establish the sharp decay of solution and its gradient and also investigate the question of existence of solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-25T09:55:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B06",
      "35B33",
      "35B44",
      "35B45",
      "35J92"
    ],
    "keywords": [
      "quasilinear elliptic equation",
      "hyperbolic space",
      "poincare sobolev inequality",
      "euler lagrange equation",
      "laplace equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}