preprint
Inserted: 19 jul 2022
Last Updated: 11 jul 2023
Year: 2022
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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