Calculus of Variations and Geometric Measure Theory

L. Ambrosio - A. Figalli - E. Runa

On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces

created by figalli on 27 Jun 2012
modified on 05 Feb 2013


Accepted Paper

Inserted: 27 jun 2012
Last Updated: 5 feb 2013

Journal: Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.
Year: 2012


We study sets of finite perimeter in Wiener space, and prove that at almost every point (with respect to the perimeter measure) a set of finite perimeter blows-up to a halfspace.

Tags: GeMeThNES