English

A Strong Form of the Quantitative Wulff Inequality for Crystalline Norms

Analysis of PDEs 2024-02-13 v1 Metric Geometry

Abstract

Quantitative stability for crystalline anisotropic perimeters, with control on the oscillation of the boundary with respect to the corresponding Wulff shape, is proven for n3n\geq 3. This extends a result of [Neu16] in n=2n=2.

Keywords

Cite

@article{arxiv.2402.06813,
  title  = {A Strong Form of the Quantitative Wulff Inequality for Crystalline Norms},
  author = {Kenneth DeMason},
  journal= {arXiv preprint arXiv:2402.06813},
  year   = {2024}
}

Comments

24 pages, 2 figures. Comments welcome!