Anisotropic Isoperimetric Inequalities involving Boundary Momentum, Perimeter and Volume
Analysis of PDEs
2019-04-09 v2
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.
Keywords
Cite
@article{arxiv.1807.05007,
title = {Anisotropic Isoperimetric Inequalities involving Boundary Momentum, Perimeter and Volume},
author = {Gloria Paoli and Leonardo Trani},
journal= {arXiv preprint arXiv:1807.05007},
year = {2019}
}
Comments
18 pages