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： 冯美强 教授（北京信息科技大学）

题  目：Existence and asymptotic behavior of k-convex solutions to the  k-Hessian equation

时  间：2018.11.20（星期二），14:30-15:30

地  点：数学院南楼N820室

摘  要：In this talk, we consider the existence and asymptotic behavior of k-convex solution to the k-Hessian equation under two cases: $u(x)=+\infty$ or u(x)=0 on $\partial \Omega$, where $\Omega$ is a smooth, bounded, strictly convex domain in R^N (N\geq 2)$. Further results are obtained for the special case that $\Omega$ is a ball. Our approach is largely based on the construction of suitable sub- and super-solutions and the Karamata regular variation theory.（joint work with Xuemei Zhang）