{
  "id": "1503.05535",
  "version": "v1",
  "published": "2015-03-18T19:14:57.000Z",
  "updated": "2015-03-18T19:14:57.000Z",
  "title": "Picone's Identity for $p$-biharmonic operator and Its Applications",
  "authors": [
    "Gaurav Dwivedi"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article we prove the nonlinear analogue of Picone's identity for $p-$biharmonic operator. As an application of our result we show that the Morse index of the zero solution to a $p-$biharmonic boundary value problem is $0$. We also prove a Hardy type inequality and Sturmian comparison principle. We also show the strict monotonicity of the principle eigenvalue and linear relationship between the solutions of a system of singular $p$-biharmonic system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-18T19:14:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "biharmonic operator",
      "picones identity",
      "application",
      "biharmonic boundary value problem",
      "hardy type inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150305535D"
    }
  }
}