Let M-1 denote the space of solutions z(x,y) to an elliptic, real analytic Monge-Ampere equation det(D2z)=phi(x,y,z,Dz)>0 whose graphs have a non-removable isolated singularity at the origin. We prove that M-1 is in one-to-one correspondence with M(2)xZ(2), where M-2 is a suitable subset of the class of regular, real analytic, strictly convex Jordan curves in (2). We also describe the asymptotic behavior of solutions of the Monge-Ampere equation in the C-k-smooth case, and a general existence theorem for isolated singularities of analytic solutions of the more general equation det(D2z+A(x,y,z,Dz))=phi(x,y,z,Dz)>0.(c) 2015 Wiley Periodicals, Inc.
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