报告题目： Hypersurfaces with prescribed mean curvature in product manifolds 报 告 人： 周恒宇 报告人所在单位： 中山大学 报告日期： 2018-01-10 星期三 报告时间： 10:40-11:40 报告地点： 光华东主楼1801 报告摘要： In this talk we study the existence of $n$-dimensional hypersurface with $C^1$ mean curvature function in warped product manifolds under barrier conditions. With those barrier conditions we construct a family of graphs satisfying auxiliary mean curvature equations. These graphs will converge to an almost minimal boundary in the sense of varifold. Applying the regularity of the almost minimal boundary, this limit is smooth, embedded satisfying prescribed mean curvature when $n\leq 6$. Similar schemes also work in warped product manifolds and cylinders.  本年度学院报告总序号： 10