{
  "id": "1405.0690",
  "version": "v1",
  "published": "2014-05-04T12:33:02.000Z",
  "updated": "2014-05-04T12:33:02.000Z",
  "title": "Some New Inequalities of Dirichlet Eigenvalues for Laplace Operator with any Order",
  "authors": [
    "Na Huang",
    "Pengcheng Niu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we establish several inequalities of Dirichlet eigenvalues for Laplace operator $\\Delta $ with any order on \\emph{n}-dimensional Euclidean space. These inequalities are more general than known Yang's inequalities and contain new consequences. To obtain them, we borrow the approach of Illias and Makhoul, and use a generalized Chebyshev's inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-04T12:33:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "laplace operator",
      "dirichlet eigenvalues",
      "yangs inequalities",
      "euclidean space",
      "generalized chebyshevs inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.0690H"
    }
  }
}