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The aim of this survey paper is to provide the recent developments on the existence, uniqueness and regularity results to fully nonlinear elliptic equations of the form { F(x,u,Du,D2u) = f (x) in Ω, u = 0 on ∂Ω, where Ω is a smooth bounded domain in Rn .

A survey on the existence, uniqueness and regularity questions to fully nonlinear elliptic partial differential equations