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.
;
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2024 - On the monotonicity of weighted perimeters of convex bodies - Saracco, Stefani.pdf
accesso aperto
Tipologia:
Full text (versione editoriale)
Licenza:
Creative commons
Dimensione
1.26 MB
Formato
Adobe PDF
|
1.26 MB | Adobe PDF | Visualizza/Apri |
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
