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The constant rank theorem and its applications

发布时间:2023-03-31 浏览量:138

时   间:  2023-03-31 10:00 — 11:30

地   点:  会议室(706)
报告人:  徐露
单   位:  湖南大学
邀请人:  楼元,谢峰
备   注:  地点:706会议室; 时间:10:00-11:00
报告摘要:  

The constant rank theorem was initially developed by Caffarelli-Friedman in 1985 in two-dimensions for convex solutions of semilinear equations. Later, Korevaar-Lewis extended the result to higher dimensions. The theory was generalized to fully nonlinear case twenty years ago, and it had became an important ingredient in the study of prescribed curvature problems, such as the Christoffel-Minkowski problem and the prescribed Weingarten curvature problem.
In this talk, I will give some applications of the constant rank theorem. These work are jointly finished with my co-authors.