arXiv:1407.5417 Abstract | arXiv Analytics

Published 2014-07-21Version 1

We introduce a notion of fractional perimeter in an abstract Wiener space, and we show that halfspaces are the only volume-constrained minimisers.

Categories: math.AP

Keywords: fractional isoperimetric problem, abstract wiener space, fractional perimeter, halfspaces

Related articles: Most relevant | Search more

arXiv:1603.06088 [math.AP] (Published 2016-03-19)

Fractional perimeter from a fractal perspective

Luca Lombardini

arXiv:2001.11415 [math.AP] (Published 2020-01-30)

Second-order asymptotics of the fractional perimeter as $s\to 1$

arXiv:2102.13041 [math.AP] (Published 2021-02-25)

Convergence of supercritical fractional flows to the mean curvature flow