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学术报告“Classical Neumann problems for Hessian equations and geometric applications”

报告题目:  Classical Neumann problems for Hessian equations and geometric applications

 

报告人:Guohuan Qiu(McGill University)

 

报告时间:20161224日(星期六)上午1000

 

报告地点:太白校区 非线性科学研究中心学术报告厅(312

 

报告摘要: 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 sketch 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.

 

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