Given a convex domain Ω ⊂ R3 and an almost-minimizer E of the relative perimeter in Ω, we prove that the closure of ∂E ∩ Ω does not contain vertices of Ω
A vertex-skipping property for almost-minimizers of the relative perimeter in convex sets / Leonardi, Gian Paolo; Vianello, Giacomo. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1088-6850. - ELETTRONICO. - 2025:378(2025), pp. 3279-3295. [10.1090/tran/9341]
A vertex-skipping property for almost-minimizers of the relative perimeter in convex sets
Leonardi, Gian Paolo
;Vianello, Giacomo
2025-01-01
Abstract
Given a convex domain Ω ⊂ R3 and an almost-minimizer E of the relative perimeter in Ω, we prove that the closure of ∂E ∩ Ω does not contain vertices of ΩFile in questo prodotto:
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