{"title":"A strong form of the quantitative Wulff inequality for crystalline norms","authors":"Kenneth DeMason","doi":"10.1007/s00526-024-02796-4","DOIUrl":null,"url":null,"abstract":"<p>Quantitative stability for crystalline anisotropic perimeters, with control on the oscillation of the boundary with respect to the corresponding Wulff shape, is proven for <span>\\(n\\ge 3\\)</span>. This extends a result of Neumayer (SIAM J Math Anal 48:172–1772, 2016) in <span>\\(n=2\\)</span>.\n</p>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00526-024-02796-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
引用次数: 0
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 \(n\ge 3\). This extends a result of Neumayer (SIAM J Math Anal 48:172–1772, 2016) in \(n=2\).
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