题目: Improved Aleksandrov Estimates and an Associated Variational Problem

报告人：熊金钢教授，北京师范大学

报告地点：东区第五教学楼5202

报告时间：7月10日，16：00

摘要: We present an enhanced formulation of the Aleksandrov estimate for the difference between two convex functions, under the assumption that one of the functions is strictly convex and smooth. These estimates are affine-invariant. Additionally, we establish a corresponding variational problem. We prove the existence of extremal functions for this problem and observe a concentration phenomenon. This work is joint with Tianling Jin and Xushan Tu.