Flot de courbure moyenne modifiée avec obstacle conique

A rotationally symmetric, compact, oriented, connected, uniformly convex hypersurface M₀ of , with boundary ∂M₀ in a rotationally symmetric cone S, is evolving under volume-preserving mean curvature flow. Then for n?2, we obtain gradient and curvature estimates, leading to long-time existence of the flow, and convergence to a part of a round sphere.