应gg999策略手机白菜邀请,加拿大麦吉尔大学(McGill University)数学系邱国寰博士将于12月23日-24日访问我院,并进行学术报告,欢迎有兴趣的老师与同学参加。
题目: Classical Neumann problems for Hessian equations and geometric applications.
时间: 2016年12月23日下午3:00—5:00
地点:理科楼202
摘要:The classic Neumann problem for Laplace equation has many geometric applications. For example, Reilly used its solution to give a new proof of Minkowski inequality.
Recently, Xinan Ma and Guohuan Qiu, have proved the existence of the Neumann problems for Hessian equations in uniformly convex domain in Rn. Motivated from Reilly and Ma-Qiu's work, Chao Xia and I also find geometric applications about classical Neumann problems for Hessian equations.
We will talk about how to prove the existence of classical Neumann problems under the uniformly convex domain. Then we use the solution of the classical Neumann problem to give a new proof of a family of Alexandrov-Fenchel inequalities arising from convex geometry.