Topic: On Brezis’ two open problems

Lecturer: Prof. Wei Juncheng, The Chinese University of Hong Kong

Time: April 4, 2026, 11:00, UTC+8

Venue: Room 213, Mathematics and Statistics Building

Biography: Wei Juncheng, a renowned Chinese mathematician, is a Fellow of the Royal Society of Canada. He received his Bachelor’s degree from Wuhan University in 1989 and his Ph.D. from the University of Minnesota in 1994. He has served as Wei Lun Chair Professor of Mathematics at The Chinese University of Hong Kong (CUHK), Canada Research Chair Professor at the University of British Columbia, and currently holds the positions of Choh-Ming Li Chair Professor of Mathematics at CUHK and Global STEM Scholar of the Hong Kong SAR Government. Professor Wei’s main research area is nonlinear partial differential equations. He has published over 500 papers in international mathematics journals, including 1 in Ann. of Math., 2 in Invent. Math., 1 in SIAM Rev., 9 in Comm. Pure Appl. Math., 6 in J. Eur. Math. Soc., 4 in Duke Math. J., 2 in J. Differential Geom., 2 in Mem. Amer. Math. Soc., 2 in Geom. Funct. Anal., 3 in J. Reine Angew. Math., 4 in Amer. J. Math., and 10 in Adv. Math.. Professor Wei has received numerous awards and honors, including the Croucher Senior Research Fellowship (2005), the Morningside Silver Medal of Mathematics at the 5th International Congress of Chinese Mathematicians (2010), the First Prize in Natural Science from the Ministry of Education, the Canadian Mathematical Society Jeffery-Williams Prize (2020), the ICCM Best Paper Award (2024), and the Hong Kong SAR Government Global STEM Scholar (2024). He was supported by the National Science Fund for Distinguished Young Scholars (Category B) in 2004, was invited to give a 45-minute lecture at the 27th International Congress of Mathematicians in 2014, was elected a Fellow of the Royal Society of Canada in 2019, and was selected as a Simons Fellow in Mathematics in 2020.

Abstract: In 2023, one year before he died, Brezis posed 28 open problems which he thinks “difficult and challenging” throughout his career. In this talk we solve the first and seventh open problems.

Rewritten by: Li Huihui

Edited by: Mei Mengqi, Li Tiantian

Source: School of Mathematics and Statistics