题目：The Neumann Problem of  Special Lagrangian Type Equations

报告人：邱国寰 副研究员 （中科院数学研究所）

时间: 2023年3月22日 9:00-10:00

地点：腾讯会议室

摘要: We study the Neumann problem for special Lagrangian type equations with critical and supercritical phases. These equations naturally generalize the special Lagrangian equation and the k-Hessian equation. By establishing uniform a priori estimates up to the second order, we obtain the existence result using the continuity method. The new technical aspect is our direct proof of boundary double normal derivative estimates. In particular, we directly prove the double normal estimates for the 2-Hessian equation in dimension 3. Moreover, we solve the classical Neumann problem by proving the uniform gradient estimate. This is joint work with Dekai Zhang.

参会方式：腾讯会议室

账号：662-859-6692

All are welcome!