Inverse anisotropic mean curvature flow and a Minkowski type inequality

In this paper, we show that the inverse anisotropic mean curvature flow in Rn+1, initiating from a star-shaped, strictly F-mean convex hypersurface, exists for all time and after rescaling the flow converges exponentially fast to a rescaled Wulff shape in the C∞ topology. As an application, we prove a Minkowski type inequality for star-shaped, F-mean convex hypersurfaces.