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We obtain global $W^{2,\delta}$ estimates for a type of singular fullynonlinear elliptic equations where the right hand side term belongs to$L^\infty$. The main idea of the proof is to slide paraboloids from below andabove to touch the solution of the equation, and then to estimate the low boundof the measure of the set of contact points by the measure of the set of vertexpoints.

Global $W^{2,\delta}$ estimates for a type of singular fully nonlinear elliptic equations