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1. C^{1,α} and Glaeser type estimates

Author

Italo Capuzzo Dolcetta and Antonio Vitolo

Subjects
gradient estimates, elliptic equations, viscosity solutions, Mathematics, QA1-939
Abstract

In this paper we are concerned with gradient estimates for viscosity solutions of fully nonlinear second order elliptic equations of the form F(D^2u) = f with bounded right-hand side. We generalize to a nonlinear setting the results of Yan Yan Li and Louis Nirenberg [12] about the so-called Glaeser estimate. We improve also some qualitative results in this direction contained in [4].

Published
2009

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