{ "id": "math/0609030", "version": "v2", "published": "2006-09-01T14:08:47.000Z", "updated": "2006-09-14T08:51:42.000Z", "title": "Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds", "authors": [ "Yuxiang Li", "Cheikh Birahim Ndiaye" ], "categories": [ "math.AP", "math.FA" ], "abstract": "Given a compact closed four dimensional smooth Riemannian manifold, we prove existence of extremal functions for Moser-Trudinger type inequality. The method used is Blow-up analysis combined with capacity techniques.", "revisions": [ { "version": "v2", "updated": "2006-09-14T08:51:42.000Z" } ], "analyses": { "keywords": [ "moser-trudinger type inequality", "extremal functions", "dimensional smooth riemannian manifold", "blow-up analysis" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......9030L" } } }