BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Classical Neumann problems for Hessian equations and Alexandrov-Fenchel inequalities Qiu, Guohuan


Last year, Xinan Ma and me gave a existence result about the Neumann problems for Hessian equations. In this talk, we proceed further to study classical Neumann problems for Hessian equations. We prove here the existence results of classical Neumann problems under the uniformly convex domain in R^n. Then we use the solutions of these boudary problems to give a new proof of a family of Alexandrov-Fenchel inequalities raiesd from convex geometry. This geometric application is motived from Reilly. It is a work joint with Chao Xia.

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