We consider the Monge-Ampere equation det(D2u) = f in Rn, where f is a positive bounded periodic function. We prove that u

must be the sum of a quadratic polynomial and a periodic function. For f ≡ 1, this is the classic result by Jorgens, Calabi and Pogorelov.

For f ∈ Cα, this was proved in joint work with Caffarelli.

The work presented is a joint work with Siyuan Lu.

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