Abstract
Korevaar has given a new proof for interior gradients estimates for solutions of prescribed mean curvature equations in [ N. J. Korevaar, Proc. Sympos. Pure Math. 45, Part 2 (1986) ]. Interior gradient estimates for elliptic Weingarten equations are also obtained in [ N. J. Korevaar, Ann. Inst. H. Poincaré 43 (1987) , 1–17]. In this paper we apply the normal perturbation method introduced in [ N. J. Korevaar, Proc. Sympos. Pure Math. 45, Part 2 (1986) ; N. J. Korevaar, Ann. Inst. H. Poincaré 43 (1987) , 1–17] to generalize the result in [ N. J. Korevaar, Ann. Inst. H. Poincaré 43 (1987) , 1–17] to more general fully nonlinear elliptic equations.
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