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

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Calculus of Variations and Partial Differential Equations Aims and scope Submit manuscript

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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Authors and Affiliations

  1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332 USA (e-mail: carlen@math.gatech.edu; jkerce@math.gatech.edu) , , , , , , US

    E.A. Carlen & C. Kerce

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  1. E.A. Carlen
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  2. C. Kerce
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Received June 21, 1999 / Accepted June 12, 2000 / Published online November 9, 2000

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Carlen, E., Kerce, C. On the cases of equality in Bobkov's inequality and Gaussian rearrangement. Calc Var 13, 1–18 (2001). https://doi.org/10.1007/PL00009921

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  • DOI: https://doi.org/10.1007/PL00009921

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