Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	徐露教授，湖南大学
Inviter:	邱国寰
Title:	The constant rank theorem and its applications
Time & Venue:	2022.11.24 09:00-10:00 腾讯会议：882-6602-5608
Abstract:	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.