Continuity and monotonicity of weighted perimeters of convex bodies 4R7HZD14M6

URI	`m2://res/4R7HZD14M6`
Kind	preprint
Creators	Gyula Csató, Davide Giovagnoli
Date	2026-10-08
MSC	35-XX, 53-XX, 49-XX, 90-XX, 93-XX
Subjects	arxiv math.AP, arxiv math.DG, arxiv math.OC
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
1SYEP22QP3	statement	lemma 4.1	arxiv
Continuity of the perimeter functional	statement	lemma 2.2	arxiv
Continuity of the energy functional	statement	theorem 1.2	arxiv
Monotonicity of $E_\phi$ under inclusion	statement	theorem 1.3	arxiv
DCZJ5TX82Y	statement	theorem 4.3	arxiv
Weight function	definition	definition 1.1	arxiv
K03F0ST4FM	statement	lemma 2.1	arxiv
QPG52TK9QR	statement	lemma 2.3	arxiv
SS9E2K17BY	statement	lemma 4.2	arxiv
Continuity of the perimeter functional relative to a ball	statement	lemma 2.4	arxiv