# American Institute of Mathematical Sciences

June  2010, 28(2): 539-557. doi: 10.3934/dcds.2010.28.539

## Glaeser's type gradient estimates for non-negative solutions of fully nonlinear elliptic equations

 1 Dipartimento di Matematica, Sapienza - Università di Roma, P.le A.Moro 2, Roma, I-00185, Italy 2 Dipartimento di Matematica e Informatica, Università di Salerno, P. Grahamstown, Fisciano, SA I-84084, Italy

Received  December 2009 Revised  April 2010 Published  April 2010

In this paper we discuss some extensions to a fully nonlinear setting of results by Y.Y. Li and L. Nirenberg [25] about gradient estimates for non-negative solutions of linear elliptic equations.Our approach relies heavily on methods developed by L. Caffarelli in [3] and [4].
Citation: Italo Capuzzo Dolcetta, Antonio Vitolo. Glaeser's type gradient estimates for non-negative solutions of fully nonlinear elliptic equations. Discrete & Continuous Dynamical Systems - A, 2010, 28 (2) : 539-557. doi: 10.3934/dcds.2010.28.539
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