Abstrak

In this paper, we generalize the W2,p interior estimates of fully nonlinear elliptic equations that were obtained by Caffarelli [‘Interior a priori estimates for solutions of fully nonlinear equations’, Ann. of Math. 130 (1989) 189–213]. The generalizations are carried out in two directions. One is that we relax the regularity requirement on the ‘constant coefficients’ equations and the other one is that we broaden the range of p.