We prove that, among weighted isotropic perimeters, only constant multiples of the Euclidean perimeter satisfy the monotonicity property on nested convex bodies. Although the analogous result fails for general weighted anisotropic perimeters, a similar characterization holds for radially-weighted anisotropic densities.

On the monotonicity of weighted perimeters of convex bodies / Saracco, Giorgio; Stefani, Giorgio. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - ELETTRONICO. - N/A:(In corso di stampa), pp. 1-7. [10.1002/mana.202300280]

On the monotonicity of weighted perimeters of convex bodies

Saracco, Giorgio
;
In corso di stampa

Abstract

We prove that, among weighted isotropic perimeters, only constant multiples of the Euclidean perimeter satisfy the monotonicity property on nested convex bodies. Although the analogous result fails for general weighted anisotropic perimeters, a similar characterization holds for radially-weighted anisotropic densities.
In corso di stampa
N/A
1
7
Saracco, Giorgio; Stefani, Giorgio
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1343852
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