Anisotropic Isoperimetric Inequalities involving Boundary Momentum, Perimeter and Volume
arXiv:1807.05007
Abstract
We consider a scale invariant functional involving the anisotropic momentum, the anisotropic perimeter and the volume. We show that the Wulff shape, associated with the Finsler norm considered and centered at the origin, is the unique minimizer of the anisotropic functional taken into consideration among all bounded convex sets.
18 pages