Minimal periodic foams with equal cells

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arxiv 2302.07112 v2 pith:JSWEFF42 submitted 2023-02-14 math.AP

Annalisa Cesaroni , Matteo Novaga This is my paper · ORCID

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keywords cellsequalfoamsperiodicanisotropicexistencemathbbminimal

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abstract

We show existence of periodic foams with equal cells in $\mathbb R^n$ minimizing an anisotropic perimeter.

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An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds
math.AP 2024-12 accept novelty 2.0 of 10

The paper reviews and re-exposes existing stability theorems for sharp Sobolev inequalities on manifolds with Ricci lower bounds.