非线性分析研讨班：Results on fully nonlinear elliptic equations on manifolds

中科院数学与系统科学研究院

数学研究所

非线性分析研讨班

报告人：Prof. Guan Bo（Ohio State University, USA）

题  目：Results on fully nonlinear elliptic equations on manifolds

时  间：2018.04.03（星期二），10:30-11:30

地  点：数学院南楼N902室

摘  要：Fully nonlinear partial differential equations play important roles in geometric problems and attract increasing interests. A key to understand these equations is to establish apriori estimates for equations on real and complex manifolds. In this talk we report some recent results in this aspect. We consider the Dirichlet and Neumann problems as well as equations on closed manifolds. We try to understand roles of subsolutions and concavity condition in deriving estimates for second derivatives, and clarify relations between different notions of generalized subsolutions.