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

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

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].