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李岩岩——Monge-Ampère equation with bounded periodic data
发布人:尹智  发布时间:2019-07-22   浏览次数:34

题目Monge-Ampère equation with bounded periodic data


报告人李岩岩  (Rutgers University)


时间:7月31日,15:00-16:00


地点:明德楼B区201学术报告厅


摘要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.