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.