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On the Cases of Equality in Bobkov’s Inequality and Gaussian Rearrangement

By E. A. Carlen and C. Kerce


Abstract 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

Topics: Key words, Isoperimetric inequality, rearrangements, Gauss space. Mathematics Classification
Year: 2008
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