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, G.; Stefani, G.. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - ELETTRONICO. - 297:(2024), pp. 1444-1450. [10.1002/mana.202300280]

On the monotonicity of weighted perimeters of convex bodies

Saracco, G.
;
2024

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.
2024
297
1444
1450
Saracco, G.; Stefani, G.
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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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