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Title: Two different skills in double normal derivative estimates for Monge-Ampere equations
Abstract: In this talk, I will illustrate two different skills in double normal derivative estimates for Monge-Ampere equation. The materials are Caffarelli-Nirenberg-Spruck's classical paper: 鈥淭he Dirichlet Problem for Nonlinear Second-Order Elliptic Equations I. Monge-Ampere Equations鈥� and Trudinger's lecture 鈥淟ecture on Nonlinear Elliptic Equations of Second Order鈥�. I will focus on illustrating the basic ideas behind their estimates.