Title:Strictly Locally Convex Hypersurfaces with Prescribed Curvature and Boundary in Space Forms
Speaker:隋哲楠教授 (哈尔滨工业大学)
Time:2019年10月31日(周四) 下午 15:00-16:00
Room:东区管理科研楼 数学科学学院1418室
Abstract:We will discuss $C^2$ a priori estimates for strictly locally convex radial graphs with prescribed Weingarten curvature and boundary in space forms. By constructing two-step continuity process and applying degree theory arguments, existence results in space forms are established for prescribed Gauss curvature equation under the assumption of a strictly locally convex subsolution.