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
非线性泛函分析讨论班
Speaker: 郑有泉教授 (天津大学)
Inviter: 孙黎明
Language: Chinese
Title:On the Dirichlet problem for the H-system
Time&Venue:2025年10月21日(星期二)10:30-11:30 & 思源楼 S723
Abstract: Considering a Dirichlet problem for the H-system, we construct multi-bubble solutions that concentrate at distinct points as the boundary condition vanishes, with each point having the profile of a degree-2 H-bubble. This provides a partial answer to a conjecture by Brezis-Coron and Chanillo-Malchiodi regarding the limiting configuration in the case of higher degrees. This work is a collaboration with Xiang Fang (TJU), Juncheng Wei (CUHK), and Yifu Zhou (WHU).