Submitted Paper
Inserted: 12 apr 2023
Last Updated: 12 apr 2023
Year: 2023
Abstract:
We establish a regularity result for optimal sets of the isoperimetric problem with double density under mild H\"older regularity assumptions on the density functions. Our main Theorem improves some previous results and allows to reach the optimal regularity class $C^{1,\frac{\alpha}{2-\alpha}}$ in any dimension.
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