{ "id": "2303.11605", "version": "v1", "published": "2023-03-21T05:55:04.000Z", "updated": "2023-03-21T05:55:04.000Z", "title": "2-Radical Laplace Operators", "authors": [ "Shouvik Datta Choudhury" ], "comment": "41 pages", "categories": [ "math.DG" ], "abstract": "The paper introduces a new elliptic operator called the two-radical Laplace operator, which has a positive eigenvalue equal to the positive square root of the eigenvalue of the Laplace operator. The author provide several theorems that serve as counterparts to those associated with the Laplace operator.", "revisions": [ { "version": "v1", "updated": "2023-03-21T05:55:04.000Z" } ], "analyses": { "subjects": [ "47Bxx", "46Cxx", "28A75", "53-xx", "58Jxx", "58J35" ], "keywords": [ "elliptic operator", "positive square root", "two-radical laplace operator", "positive eigenvalue equal", "counterparts" ], "note": { "typesetting": "TeX", "pages": 41, "language": "en", "license": "arXiv", "status": "editable" } } }