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

C[1,alpha]-estimates and Glaeser's inequality

VITOLO, Antonio
2009

Abstract

In this paper we are concerned with gradient estimates for viscosity solutions of fully nonlinear second order elliptic equations of the form F(DDu) = f with bounded right-hand side. We generalize to a nonlinear setting the results of Yan Yan Li and Louis Nirenberg about the so-called Glaeser estimate for positive solutions. We improve also some qualitative results in this direction contained in a previous work of ours.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/2296362
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