{ "id": "math/0104227", "version": "v3", "published": "2001-04-24T17:38:36.000Z", "updated": "2001-10-14T21:51:09.000Z", "title": "Estimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds", "authors": [ "Jeff Viaclovsky" ], "comment": "25 pages; v2 fixed typos; v3 constant in Theorem 2 is now optimal", "journal": "Final version: Communications in Analysis and Geometry 10 (2002), no.4, 815-846", "categories": [ "math.DG", "math.AP" ], "abstract": "We prove estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds. These equations are not arbitrary, but arise naturally in the study of conformal geometry.", "revisions": [ { "version": "v3", "updated": "2001-10-14T21:51:09.000Z" } ], "analyses": { "subjects": [ "35J60", "53A30" ], "keywords": [ "fully nonlinear elliptic equations", "riemannian manifolds", "existence results", "conformal geometry" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math......4227V" } } }