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Strong Stability for the Wulff Inequality with a Crystalline Norm
Communications on Pure and Applied Mathematics ( IF 3.1 ) Pub Date : 2020-07-10 , DOI: 10.1002/cpa.21928
Alessio Figalli 1 , Yi Ru‐Ya Zhang 1
Affiliation  

Let K be a convex polyhedron and ℱ its Wulff energy, and let urn:x-wiley:00103640:media:cpa21928:cpa21928-math-0001 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 urn:x-wiley:00103640:media:cpa21928:cpa21928-math-0002

中文翻译:

具有结晶范数的 Wulff 不等式的强稳定性

ķ是凸多面体并且ℱ其伍尔夫能量,并且让骨灰盒:x-wiley:00103640:媒体:cpa21928:cpa21928-math-0001表示组凸多面体接近的ķ其表面平行于那些ķ。我们表明,对于足够小的ε,所有的ε极小化器都属于骨灰盒:x-wiley:00103640:媒体:cpa21928:cpa21928-math-0002
更新日期:2020-07-10
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