We consider the evolution of a closed convex hypersurface under a volume preserving curvature flow. The speed is given by a power of the mth mean curvature plus a volume preserving term, including the case of powers of the mean curvature or of the Gauss curvature. We prove that if the initial hypersurface satisfies a suitable pinching condition, the solution exists for all times and converges to a round sphere
We extend the results of McCoy (Calc Var Partial Differ Equ 24:131-154, 2005) to include several new...
We prove the existence of a volume preserving crystalline mean curvature flat flow starting from a c...
AbstractWe introduce a geometric evolution equation of hyperbolic type, which governs the evolution ...
We consider the evolution of a closed convex hypersurface under a volume preserving curvature flow. ...
We consider the evolution of a closed convex hypersurface in euclidean space under a volume preservi...
We consider a convex Euclidean hypersurface that evolves by a volume- or area-preserving flow with s...
We study a volume preserving curvature flow of convex hypersurfaces, driven by a power of the k-th e...
In this paper, we consider the $m^{{\rm th}}$ mean curvature flow of convex hypersurfaces in Euclide...
We study the evolution of a closed, convex hypersurface in Rn+1 in direction of its normal vector, w...
We study the evolution of a closed hypersurface of the euclidean space by a flow whose speed is give...
We study the evolution of a closed, convex hypersurface in ℝn+1 in direction of its normal vector, w...
This paper concerns convex hypersurfaces in Euclidean space evolving by anisotropic analogues of the...
We extend the results of McCoy (Calc Var Partial Differ Equ 24:131-154, 2005) to include several new...
We prove the existence of a volume preserving crystalline mean curvature flat flow starting from a c...
AbstractWe introduce a geometric evolution equation of hyperbolic type, which governs the evolution ...
We consider the evolution of a closed convex hypersurface under a volume preserving curvature flow. ...
We consider the evolution of a closed convex hypersurface in euclidean space under a volume preservi...
We consider a convex Euclidean hypersurface that evolves by a volume- or area-preserving flow with s...
We study a volume preserving curvature flow of convex hypersurfaces, driven by a power of the k-th e...
In this paper, we consider the $m^{{\rm th}}$ mean curvature flow of convex hypersurfaces in Euclide...
We study the evolution of a closed, convex hypersurface in Rn+1 in direction of its normal vector, w...
We study the evolution of a closed hypersurface of the euclidean space by a flow whose speed is give...
We study the evolution of a closed, convex hypersurface in ℝn+1 in direction of its normal vector, w...
This paper concerns convex hypersurfaces in Euclidean space evolving by anisotropic analogues of the...
We extend the results of McCoy (Calc Var Partial Differ Equ 24:131-154, 2005) to include several new...
We prove the existence of a volume preserving crystalline mean curvature flat flow starting from a c...
AbstractWe introduce a geometric evolution equation of hyperbolic type, which governs the evolution ...