{
  "id": "1003.5452",
  "version": "v2",
  "published": "2010-03-29T08:21:33.000Z",
  "updated": "2010-10-20T19:21:00.000Z",
  "title": "Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential",
  "authors": [
    "Martin Fraas",
    "Yehuda Pinchover"
  ],
  "comment": "39 pages. Stronger results in the radial case, other results and conclusions are unchanged, considerable restructuring of the paper, introduction is modified, typos corrected, references added",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study positive Liouville theorems and the asymptotic behavior of positive solutions of p-Laplacian type elliptic equations of the form Q'(u):= - pLaplace(u) + V |u|^{p-2} u = 0 in X, where X is a domain in R^d, d > 1, and 1<p<infty. We assume that the potential V has a Fuchsian type singularity at a point zeta, where either zeta=infty and X is a truncated C^2-cone, or zeta=0 and zeta is either an isolated point of a boundary of X or belongs to a C^2-portion of the boundary of X.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-20T19:21:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B53",
      "35B09",
      "35J92",
      "35B40"
    ],
    "keywords": [
      "p-laplacian type elliptic equations",
      "asymptotic behavior",
      "fuchsian potential",
      "study positive liouville theorems",
      "fuchsian type singularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.5452F"
    }
  }
}