报告题目：Curvature estimates for p-convex hypersurfaces of prescribed curvature
报告人： 董伟松 教授
所在单位：天津大学
报告时间：2023年10月20日星期五 上午 10:00 –11:00
报告地点：数学楼第二报告厅
报告摘要：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 $p\geq n/2$.
报告人简介：天津大学全讯600cc大白菜副教授，博士毕业于哈尔滨工业大学。主要研究兴趣为完全非线性椭圆方程。已在《Journal of Functional Analysis》、《Discrete and Continuous Dynamical Systems. Series A》、《Journal of Differential Equations》、《Revista Matematica Iberoamericana》、《Calc. Var. Partial Differential Equations》等期刊上发表论文多篇。主持国家自然科学基金青年基金项目一项。
