Anisotropic Isoperimetric Inequalities involving Boundary Momentum, Perimeter and Volume

2018/07/13 by Paoli, Gloria, Trani, Leonardo
#49Q10 (Primary) 47J30 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.05007

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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