報告題目：Curvature estimates for p-convex hypersurfaces of prescribed curvature
報告人： 董偉松 教授
所在單位：天津大學
報告時間：2023年10月20日星期五 上午 10:00 –11:00
報告地點：數學樓第二報告廳
報告摘要：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 $p\geq n/2$.
報告人簡介：天津大學伟德线上平台副教授，博士畢業于哈爾濱工業大學。主要研究興趣為完全非線性橢圓方程。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》等期刊上發表論文多篇。主持國家自然科學基金青年基金項目一項。
