{
  "id": "2401.07095",
  "version": "v1",
  "published": "2024-01-13T15:14:07.000Z",
  "updated": "2024-01-13T15:14:07.000Z",
  "title": "On global solutions of quasilinear second-order elliptic inequalities",
  "authors": [
    "A. A. Kon'kov",
    "A. E. Shishkov"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "For non-negative solutions of the inequality $$ - \\operatorname{div} (|\\nabla u|^{p-2} \\nabla u) \\ge f (u) \\quad \\mbox{in } {\\mathbb R}^n, $$ where $n \\ge 2$ is an integer and $p > 1$ is a real number, we obtain necessary and sufficient blow-up conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-13T15:14:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B44",
      "35B08",
      "35J30",
      "35J70"
    ],
    "keywords": [
      "inequality",
      "quasilinear second-order elliptic inequalities",
      "global solutions",
      "sufficient blow-up conditions",
      "real number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}