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

@article{Carlen1999OnTC, title={On the cases of equality in Bobkov's inequality and Gaussian rearrangement}, author={Eric A. Carlen and Clayton Kerce}, journal={Calculus of Variations and Partial Differential Equations}, year={1999}, volume={13}, pages={1-18} }

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.

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