Resumen de Curvature estimates for p-convex hypersurfaces of prescribed curvature

Weisong Dong

• In this paper, we establish curvature estimates for p-convex hypersurfaces in RnC1 of prescribed curvature with p n=2. The existence of a star-shaped hypersurface of prescribed curvature is obtained. We also prove a type of interior C 2 estimates for solutions to the Dirichlet problem of the corresponding equation