Title: Monge-Ampère equation with bounded periodic data
Speaker: Yanyan Li (Rutgers University)
Time: 15:00-16:00, July31
Location: Room 201, Ming De Building
Abstract: We consider the Monge-Ampère 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.
