Calculus of Variations and Geometric Measure Theory

D. Bucur - I. FragalĂ 

A Faber-Krahn inequality for the Cheeger constant of N-gons

created by bucur on 29 Jan 2014
modified on 20 Oct 2014


Submitted Paper

Inserted: 29 jan 2014
Last Updated: 20 oct 2014

Journal: Journal of Geometric Analysis
Year: 2014


We prove that the regular N-gon minimizes the Cheeger constant among polygons with a given area and N sides.