Abstract
The paper studies an isoperimetric problem for the Gaussian measure and coordinatewise symmetric
sets. The notion of boundary measure corresponding to the uniform enlargement is considered, and it is
proved that symmetric strips or their complements have minimal boundary measure.
Cited by
13 articles.
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1. On a conjectural symmetric version of Ehrhard’s inequality;Transactions of the American Mathematical Society;2024-05-21
2. A remark on a conjecture on the symmetric Gaussian problem;Proceedings of the Edinburgh Mathematical Society;2024-04-15
3. Introduction;Isoperimetric Inequalities in Riemannian Manifolds;2023
4. Convexity of $\lambda $-hypersurfaces;Proceedings of the American Mathematical Society;2022-01-26
5. The dimensional Brunn–Minkowski inequality in Gauss space;Journal of Functional Analysis;2021-03