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Some new inequalities for the Cheeger constant

By Ilaria Fragalà

Appears in collection : Shape optimization and isoperimetric and functional inequalities / Optimisation de formes et inégalités isopérimétriques et fonctionnelles

We discuss some new results for the Cheeger constant in dimension two, including: - a polygonal version of Faber-Krahn inequality; - a reverse isoperimetric inequality for convex bodies; - a Mahler-type inequality in the axisymmetric setting; - asymptotic behaviour of optimal partition problems. Based on some recent joint works with D.Bucur, and for the last part also with B.Velichkov and G.Verzini.

Information about the video

Date of recording 23/11/2016
Date of publication 01/12/2016
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19094703
Cite this video Fragalà, Ilaria (23/11/2016). Some new inequalities for the Cheeger constant. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19094703
URL https://dx.doi.org/10.24350/CIRM.V.19094703

Domain(s)

Bibliography

Bucur, D., & Fragalà, I. (2016). A Faber-Krahn inequality for the Cheeger constant of N-gons. The Journal of Geometric Analysis, 26(1), 88-117 - http://dx.doi.org/10.1007/s12220-014-9539-5

MSC codes

Document(s)

http://www.cirm-math.fr/ProgWeebly/Renc1489/Fragala.pdf

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