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arXiv · 1807.05007

Anisotropic Isoperimetric Inequalities involving Boundary Momentum, Perimeter and Volume

Gloria Paoli·Leonardo Trani
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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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Gloria Paoli, Leonardo Trani. 2018-07-13. Anisotropic Isoperimetric Inequalities involving Boundary Momentum, Perimeter and Volume. https://arxiv.org/abs/1807.05007

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