题目:Neumann-Poincaré Inequalities on Minimal Submanifolds and Related Results
报告人:丁琪 教授(复旦大学)
地点:致远楼101室
时间:2025年4月17日 10:00-11:00
Abstract: The Neumann-Poincaré inequality is a powerful tool in geometric analysis. In 1972, Bombieri and Giusti proved a celebrated Neumann-Poincaré inequality on area-minimizing hypersurfaces in Euclidean space. We will talk about its generalization on minimal graphs over certain manifolds, and on certain minimal submanifolds in Euclidean space. Moreover, we will discuss its applications and related Liouville type theorems.
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