On the cases of equality in Bobkov's inequality and Gaussian rearrangement

Springer Science and Business Media LLC - Tập 13 - Trang 1-18 - 2001
E.A. Carlen1, C. Kerce1
1School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332 USA (e-mail: [email protected]; [email protected]) , , US

Tóm tắt

We determine all of the cases of equality in a recent inequality of Bobkov that implies the isoperimetric inequality on Gauss space. As an application we determine all of the cases of equality in the Gauss space analog of the Faber-Krahn inequality.

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Springer Science and Business Media LLC

Tập 13

1-18

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