报告题目 (Title)：VERY WEAK SOLUTIONS OF THE DIRICHLET PROBLEM FOR 2-HESSIAN EQUATION（2-HESSIAN 方程的狄利克雷问题的极弱解）

报告人 (Speaker)：邱国寰 副研究员（中科院数学所）

报告时间 (Time)：2024年5月7日(周二) 12:30

报告地点 (Place)：校本部GJ303

邀请人(Inviter)：席东盟、李晋、张德凯、吴加勇

主办部门：理学院数学系

报告摘要：Weyl's lemma states that every weak solution of Laplace's equation is also a smooth solution. We find that there is no Weyl's lemma for 2-Hessian equations. For any α small, we construct infinitely many C 1,α very weak solutions to the 2- Hessian equation with prescribed boundary value. This is joint work with Tongtong Li.