{
  "id": "1503.09032",
  "version": "v1",
  "published": "2015-03-31T13:05:03.000Z",
  "updated": "2015-03-31T13:05:03.000Z",
  "title": "Harnack inequality for degenerate and singular operators of $p$-Laplacian type on Riemannian manifolds",
  "authors": [
    "Soojung Kim"
  ],
  "comment": "47 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study viscosity solutions to degenerate and singular elliptic equations of $p$-Laplacian type on Riemannian manifolds. The Krylov-Safonov type Harnack inequality for the $p$-Laplacian operators with $1<p<\\infty$ is established on the manifolds with Ricci curvature bounded from below based on ABP type estimates. We also prove the Harnack inequality for nonlinear $p$-Laplacian type operators assuming that a nonlinear perturbation of Ricci curvature is bounded below.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-31T13:05:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemannian manifolds",
      "singular operators",
      "degenerate",
      "ricci curvature",
      "krylov-safonov type harnack inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}