Neumann and second boundary value problems for Hessian and Gauß curvature flows

Abstract We consider the flow of a strictly convex hypersurface driven by the Gaus curvature. For the Neumann boundary value problem and for the second boundary value problem we show that such a flow exists for all times and converges eventually to a solution of the prescribed Gaus curvature equation. We also discuss oblique boundary value problems and flows for Hessian equations.