学术报告：A potential theory for the k-curvature equations

主办单位：永利集团88304官网

报告专家：周斌副教授

报告时间：2016年12月17日（周六）上午9：00—10：00

报告地点：永利集团88304官网201学术报告厅

专家简介：周斌，北京大学数学学院副教授。2010年于北京大学和澳洲国立大学获得理学博士学位，2012.7至2016.4担任澳洲国立大学数学中心研究员。近年来主持自然科学基金项目2项，参与国家自然科学基金重点项目1项。在《Advances in Mathematics》,《Journal of Differential Equations》，《Calculus of Variations and PDE》，《International Mathematical Research Notices》等国际学术刊物上发表论文10余篇，其中被SCI收录11篇。目前主要研究兴趣为微分几何与完全非线性偏微分方程。

报告摘要：In this talk, we will introduce a potential theory for Weingarten curvature (or k-curvature) equation, which can also be seen as a PDE approach to curvature measures. In the case of k=1, we extend the mean curvature measure to signed measures. The related prescribed mean curvature equation will be solved. When k>1, we assign a measure to a bounded, upper semicontinuous function which is strictly subharmonic with respect to the k-curvature operator, and establish the weak continuity of the measure.