中国科学院数学与系统科学研究院

数学研究所
数学科学全国重点实验室

学术报告

偏微分方程研讨班

Speaker: 徐露 教授（湖南大学）

Inviter: 邱国寰 副研究员

Language:        Chinese

Title: Some new results on constant rank theorem

Time&Venue: 2025年6月24日（星期二）10:00-11:00

&思源楼S425

Abstract:In this talk, we first introduce the classical constant rank theorem(CRT). Then we give some new progress on CRT. Part of the results are about the "strengthened” versions for semi-linear elliptic equation in n-dimensional Euclidean space, by which we can deduce a rigidity theorem of the solution to the generalized Liouville equation from conformal geometry. Another part of the results concerns the generalized constant rank theorem in hyperbolic space, and we apply them to solve the Christoffel-Minkowski type Problem in this space.