{ "id": "1703.03974", "version": "v1", "published": "2017-03-11T14:18:56.000Z", "updated": "2017-03-11T14:18:56.000Z", "title": "Fractional Sobolev inequalities associated with singular problems", "authors": [ "Grey Ercole", "Gilberto de Assis Pereira" ], "comment": "29 pages", "categories": [ "math.AP" ], "abstract": "In this paper we consider Sobolev inequalities associated with singular problems for the fractional $p$-Laplacian operator in a bounded domain of $\\mathbb{R}^{N}$, $N\\geq 2$.", "revisions": [ { "version": "v1", "updated": "2017-03-11T14:18:56.000Z" } ], "analyses": { "subjects": [ "35A23", "35R11", "35A15" ], "keywords": [ "fractional sobolev inequalities", "singular problems", "laplacian operator" ], "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable" } } }