研讨班报告

非线性分析研讨班:Optimal Solvability of Exterior Dirichlet Problems for Monge-Ampère Equations

发布时间:2023-10-07

中科院数学与系统科学研究院

数学研究所

学术报告

非线性分析研讨班

 

报告人保继光(北京师范大学)

 Optimal Solvability of Exterior Dirichlet Problems for Monge-Ampère Equations

  2023.10.10(星期二)13:30-14:30

 点:思源楼S813

  要:The talk provides two necessary and sufffcient conditions for the existence of solutions to the exterior Dirichlet problem of the Monge–Ampère equation with prescribed asymptotic behavior at inffnity.  We remove the C2 regularity assumptions on the boundary value and the inner boundary, which are required in the proofs of the corresponding existence theorems in the recent literatures.


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