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A Faber–Krahn Inequality for the Cheeger Constant of $$N$$ N -gons

Author:
Bucur, Dorin   Fragalà, Ilaria   


Journal:
The Journal of Geometric Analysis


Issue Date:
2014


Abstract(summary):

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


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