论文标题
蒙格 - 安培等式的奇异结构带有点质量
Singular structures in solutions to the Monge-Ampère equation with point masses
论文作者
论文摘要
我们构建了Monge-Ampère指标的新示例，该指标具有多面体奇异结构，这是由与点质量最佳运输和镜像对称性相关的问题所激发的。我们还分析了在考虑问题中给出的数据的小扰动下，奇异结构的稳定性。
We construct new examples of Monge-Ampère metrics with polyhedral singular structures, motivated by problems related to the optimal transport of point masses and to mirror symmetry. We also analyze the stability of the singular structures under small perturbations of the data given in the problem under consideration.
