Published Paper

Inserted: 19 jul 2022
Last Updated: 12 sep 2024

Journal: Journal of Functional Analysis
Volume: 285
Number: 2
Year: 2023
Doi: https://doi.org/10.1016/j.jfa.2023.109946

Abstract:

In this paper we study two different weighted isoperimetric inequalities. In the first part of the paper we prove a sharp stability result for the isoperimetric inequality with a log-convex weight. In the second part we analize the behavior of a negative power weight for the perimeter thus providing a complete picture of the isoperimetric problem in this context.

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• Stability.22-7-19.pdf