Strong Stability for the Wulff Inequality with a Crystalline Norm

Let K be a convex polyhedron and ℱ its Wulff energy, and let CK denote the set of convex polyhedra close to K whose faces are parallel to those of K. We show that, for sufficiently small ε, all ε‐minimizers belong to CK. As a consequence of this result we obtain the following sharp stability inequal...

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Veröffentlicht in:	Communications on pure and applied mathematics 2022-02, Vol.75 (2), p.422-446
Hauptverfasser:	Figalli, Alessio, Zhang, Yi Ru‐Ya
Format:	Artikel
Sprache:	eng
Schlagworte:	Crystal structure Crystallinity Norms Polyhedra Potential energy Stability
Online-Zugang:	Volltext
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