{ "id": "1501.06836", "version": "v1", "published": "2015-01-27T17:39:01.000Z", "updated": "2015-01-27T17:39:01.000Z", "title": "On the inequality $F(x,D^2u) \\geq f(u)+g(u)|Du|^q$", "authors": [ "Italo Capuzzo Dolcetta", "Fabiana Leoni", "Antonio Vitolo" ], "categories": [ "math.AP" ], "abstract": "We consider fully nonlinear degenerate elliptic equations with zero and first order terms. We provide a priori upper bounds and characterize the existence of entire subsolutions under growth conditions on the lower order coefficients which extend the classical Keller--Osserman condition for semilinear equations.", "revisions": [ { "version": "v1", "updated": "2015-01-27T17:39:01.000Z" } ], "analyses": { "subjects": [ "35J60" ], "keywords": [ "inequality", "fully nonlinear degenerate elliptic equations", "first order terms", "lower order coefficients", "priori upper bounds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150106836C" } } }