报告题目：Very weak solutions of the Dirichlet problem for the two dimensional Monge-Ampere equation

报 告 人：曹文涛副研究员（首都师范大学）

报告时间：2022年5月18日  15:00-17:00

报告地点：腾讯会议（799547453）

报告摘要：

In this talk, we will talk about the constrution of infinitely many C^{1, a} (a<1/5) very weak solutions to the Dirichlet problem for the two dimensional Monge-Amp\`{e}re equation. They are obtained from inductive Nash-Kuiper construction of subsolutions satisfying the boundary condition. The building of initial subsolutions is the key difficulty and they are generating from the solutions of some Possion equations. The inductive construction is then attained by adding compactly supported deficit matrix.

报告人简介：

曹文涛，首都师范大学副研究员，研究方向为非线性偏微分方程，包括流体力学方程和等距嵌入等。相关成果发表在J.Differential eometry., Arch.Ration.Mech.Anal., Comm.Partial Differential Equations.等著名数学期刊。