亿万先生MR

2-HESSIAN 方程的狄利克雷问题的极弱解

2024.05.06

投稿:龚惠英部门:理学院浏览次数:

活动信息

汇报标题 (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)

汇报人 (Speaker):邱国寰 副钻研员(中科院数学所)

汇报功夫 (Time):2024年5月7日(周二) 12:30

汇报地址 (Place):校本部GJ303

约请人(Inviter):席东盟、李晋、张德凯、吴加勇

主办部门:理学院数学系

汇报提要: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.

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