The purpose of this note is to present an anisotropic variant of the BMO-type norm introduced in [4] and to show its relation with a surface measure, which is indeed a multiple of the perimeter in the isotropic case. This is done in the spirit of the new characterization of the perimeter of a measurable set in Rn recently studied by Ambrosio, Bourgain, Brezis and Figalli in [2].

Calculus of variations — BMO-type norms and anisotropic surface measures, by Giovanni E. Comi, communicated on February 9, 2018

Comi, Giovanni E.
2018

Abstract

The purpose of this note is to present an anisotropic variant of the BMO-type norm introduced in [4] and to show its relation with a surface measure, which is indeed a multiple of the perimeter in the isotropic case. This is done in the spirit of the new characterization of the perimeter of a measurable set in Rn recently studied by Ambrosio, Bourgain, Brezis and Figalli in [2].
2018
Settore MAT/05 - Analisi Matematica
Anisotropic perimeter; BMO-type norms; Sets of finite perimeter; Sphere packing problem; Mathematics (all)
File in questo prodotto:
File Dimensione Formato  
BMO-type_norms_anistropic_surface_measures.pdf

accesso aperto

Tipologia: Accepted version (post-print)
Licenza: Solo Lettura
Dimensione 379.36 kB
Formato Adobe PDF
379.36 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/79118
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
  • OpenAlex ND
social impact