{
  "id": "2001.05756",
  "version": "v1",
  "published": "2020-01-16T12:12:25.000Z",
  "updated": "2020-01-16T12:12:25.000Z",
  "title": "Qualitative properties of bounded subsolutions of nonlinear PDEs",
  "authors": [
    "Davide Bianchi",
    "Stefano Pigola",
    "Alberto G. Setti"
  ],
  "comment": "29 pages. Comments are welcome",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We study decay and compact support properties of positive and bounded solutions of $\\Delta_{p} u \\geq \\Lambda(u)$ on the exterior of a compact set of a complete manifold with rotationally symmetry. In the same setting, we also give a new characterization of stochastic completeness for the $p$-Laplacian in terms of a global $W^{1,p}$-regularity of such solutions. One of the tools we use is a nonlinear version of the Feller property which we investigate on general Riemannian manifolds and which we establish under integral Ricci curvature conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-16T12:12:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J05",
      "31B35",
      "53C21"
    ],
    "keywords": [
      "nonlinear pdes",
      "qualitative properties",
      "bounded subsolutions",
      "integral ricci curvature conditions",
      "general riemannian manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}