{
  "id": "1901.03444",
  "version": "v1",
  "published": "2019-01-11T01:14:32.000Z",
  "updated": "2019-01-11T01:14:32.000Z",
  "title": "On the Second Eigenvalue of Combination Between Local and Nonlocal $p$-Laplacian",
  "authors": [
    "Divya Goel",
    "K. Sreenadh"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study Mountain Pass Characterization of the second eigenvalue of the operator $-\\De_p u -\\De_{J,p}u$ and study shape optimization problems related to these eigenvalues.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-11T01:14:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second eigenvalue",
      "combination",
      "study mountain pass characterization",
      "study shape optimization problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}