{"title":"Sur la stricte concavité du rayon harmonique en dimension N⩾3","authors":"Pierre Cardaliaguet , Rabah Tahraoui","doi":"10.1016/S0764-4442(01)02126-7","DOIUrl":null,"url":null,"abstract":"<div><p>In this Note a result on the strict concavity of the harmonic radius in open convex domains of <span><math><mtext>R</mtext><msup><mi></mi><mn>N</mn></msup></math></span>, for <em>N</em>⩾3, is given. It implies the strict convexity of the Robin function and the uniqueness of the harmonic center in bounded convex domains.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 8","pages":"Pages 713-718"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02126-7","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021267","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this Note a result on the strict concavity of the harmonic radius in open convex domains of , for N⩾3, is given. It implies the strict convexity of the Robin function and the uniqueness of the harmonic center in bounded convex domains.
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