{
  "id": "1212.3422",
  "version": "v3",
  "published": "2012-12-14T09:38:10.000Z",
  "updated": "2014-01-24T16:42:04.000Z",
  "title": "On the p-Laplace operator on Riemannian manifolds",
  "authors": [
    "Daniele Valtorta"
  ],
  "comment": "PhD Thesis: Contains results obtained in collaboration with other mathematicians, see section 1.4 for details. ADDED IN THIS VERSION: correction of few typos, and added a reference brought to our attention by an anonymous referee. Details in the introduction, end of section 1.3",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "This thesis covers different aspects of the p-Laplace operators on Riemannian manifolds. Chapter 2. Potential theoretic aspects: the Khasmkinskii condition. Chapter 3: sharp eigenvalue estimates with Ricci curvature lower bounds. Chapter 4: Critical sets of (2-)harmonic functions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-24T16:42:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemannian manifolds",
      "p-laplace operator",
      "ricci curvature lower bounds",
      "potential theoretic aspects",
      "sharp eigenvalue estimates"
    ],
    "tags": [
      "dissertation"
    ],
    "publication": {
      "journal": "Ph.D. Thesis",
      "year": 2012
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhDT........12V"
    }
  }
}