{ "id": "1506.04026", "version": "v1", "published": "2015-06-12T14:21:39.000Z", "updated": "2015-06-12T14:21:39.000Z", "title": "Adam's Inequality on the Hyperbolic space", "authors": [ "Debabrata Karmakar", "Kunnath Sandeep" ], "categories": [ "math.AP" ], "abstract": "In this article we establish an Adam's Inequality in the Hyperbolic space. As an application we will also prove the asymptotic behaviour of the best constants in the Sobolev inequality and also discuss the solvability of Q curvature type PDE's in the Hyperbolic space.", "revisions": [ { "version": "v1", "updated": "2015-06-12T14:21:39.000Z" } ], "analyses": { "keywords": [ "hyperbolic space", "adams inequality", "curvature type pdes", "asymptotic behaviour", "best constants" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150604026K" } } }