{"title":"Boundary regularity for anisotropic minimal Lipschitz graphs","authors":"Antonio De Rosa, Reinaldo Resende","doi":"10.1080/03605302.2023.2294335","DOIUrl":null,"url":null,"abstract":"We prove that m-dimensional Lipschitz graphs in any codimension with C1,α boundary and anisotropic mean curvature bounded in Lp, p > m, are regular at every boundary point with density bounded abov...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Partial Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03605302.2023.2294335","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
We prove that m-dimensional Lipschitz graphs in any codimension with C1,α boundary and anisotropic mean curvature bounded in Lp, p > m, are regular at every boundary point with density bounded abov...
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This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.
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