{
  "id": "2308.03148",
  "version": "v1",
  "published": "2023-08-06T15:49:36.000Z",
  "updated": "2023-08-06T15:49:36.000Z",
  "title": "Improved Hardy inequality with logarithmic term",
  "authors": [
    "Nikolai Kutev",
    "Tsviatko Rangelov"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "New Hardy type inequality with double singular kernel and with additional logarithmic term in a ball $B\\subset \\mathbb{R}^n$ is proved. As an application an estimate from below of the first eigenvalue for Dirichlet problem of p-Laplacian in a bounded domain $\\Omega\\subset \\mathbb{R}^n$ is obtain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-06T15:49:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "35P15"
    ],
    "keywords": [
      "hardy inequality",
      "hardy type inequality",
      "additional logarithmic term",
      "double singular kernel",
      "dirichlet problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}