{ "id": "1603.05730", "version": "v1", "published": "2016-03-17T23:56:52.000Z", "updated": "2016-03-17T23:56:52.000Z", "title": "Variational inequalities for the spectral fractional Laplacian", "authors": [ "Roberta Musina", "Alexander I. Nazarov" ], "comment": "20 pages", "categories": [ "math.AP" ], "abstract": "In this paper we study the obstacle problems for the Navier (spectral) fractional Laplacian $\\left(-\\Delta_\\Omega\\right)^{\\!s}$ of order $s\\in(0,1)$, in a bounded domain $\\Omega\\subset\\mathbb R^n$.", "revisions": [ { "version": "v1", "updated": "2016-03-17T23:56:52.000Z" } ], "analyses": { "subjects": [ "35R11", "49J40" ], "keywords": [ "spectral fractional laplacian", "variational inequalities", "obstacle problems", "bounded domain" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160305730M" } } }