{ "id": "1101.1616", "version": "v1", "published": "2011-01-08T20:29:59.000Z", "updated": "2011-01-08T20:29:59.000Z", "title": "On the Dirichlet Problem Generated by the Maz'ya--Sobolev Inequality", "authors": [ "Alexander I. Nazarov" ], "comment": "22 pages", "categories": [ "math.AP" ], "abstract": "We discuss the attainability of sharp constants for the Maz'ya--Sobolev inequalities in wedges, \"perturbed\" wedges and bounded domains.", "revisions": [ { "version": "v1", "updated": "2011-01-08T20:29:59.000Z" } ], "analyses": { "subjects": [ "35J20", "35J62", "35J70", "49J10" ], "keywords": [ "dirichlet problem", "mazya-sobolev inequality", "sharp constants", "attainability" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }