Calculus of Variations and Geometric Measure Theory

M. Barchiesi - F. Cagnetti - V. Julin

Double-arc rearrangement and the symmetric isoperimetric problem in Gauss space

created by barchiesi on 15 Sep 2026
modified on 09 Oct 2026

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Submitted Paper

Inserted: 15 sep 2026
Last Updated: 9 oct 2026

Year: 2026

Abstract:

We provide a new rearrangement in Gauss space transforming symmetric sets while decreasing their Gaussian perimeter. We use this rearrangement to analyze the minimizers of the Gaussian perimeter among symmetric sets.


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