Isoperimetric and Stable Sets for Log-ConcavePerturbations of Gaussian Measures

Let be an open half-space or slab in ℝn+1 endowed with a perturbation of the Gaussian measureof the form f (p) := exp(ω(p) − c|p|2), where c > 0 and ω is a smooth concave function depending only onthe signed distance from the linear hyperplane parallel to ∂ Ω. In this work we follow a variationa...

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Bibliographic Details
Main Author: Rosales César
Format: Article
Language:English
Published: De Gruyter 2014-01-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.2478/agms-2014-0014