{ "id": "1110.2749", "version": "v2", "published": "2011-10-12T18:38:53.000Z", "updated": "2012-11-05T09:16:16.000Z", "title": "The p-Laplacian with respect to measures", "authors": [ "Anna Tuhola-Kujanpää", "Harri Varpanen" ], "comment": "17 pages", "categories": [ "math.AP" ], "abstract": "We introduce a definition for the $p$-Laplace operator on positive and finite Borel measures that satisfy an Adams-type embedding condition.", "revisions": [ { "version": "v2", "updated": "2012-11-05T09:16:16.000Z" } ], "analyses": { "subjects": [ "35J92", "35P30", "35D99", "35B65" ], "keywords": [ "p-laplacian", "finite borel measures", "laplace operator", "adams-type embedding condition" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1110.2749T" } } }