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