# Sharp quantitative isoperimetric inequalities in the $L^1$ Minkowski plane - Mathematics > Functional Analysis

Sharp quantitative isoperimetric inequalities in the $L^1$ Minkowski plane - Mathematics > Functional Analysis - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We prove that a plane domain which is almost isoperimetric with respect tothe $L^1$ metric is close to a square whose sides are parallel to thecoordinates axis. Closeness is measured either by $L^\infty$ Haussdorf distanceor Fraenkel asymmetry. In the first case, we determine the extremal domains.

Autor: Benoit Kloeckner IF

Fuente: https://arxiv.org/