中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：董伟松 副教授（天津大学）
题 目：Curvature estimates for p-convex hypersurfaces of prescribed curvature
时 间：2023.07.25（星期二）15:00-16:00
地 点：数学院南楼N913
摘 要：This talk is devoted to the curvature estimate for p-convex hypersurfaces of prescribed curvature. By the a priori curvature estimate, we can prove two results. First, there exists a closed p-convex hypersurface with prescribed curvature as long as $p\geq n/2$. Second, there exists a graphic p-convex hypersurface on uniformly convex domain with prescribed curvature and homogeneous boundary condition as long as $p\geq n/2$.