{"title":"（1）\\空间中从强可直空间到正则球的调和映射的Dirichlet问题","authors":"Yohei Sakurai","doi":"10.1007/s10455-023-09924-x","DOIUrl":null,"url":null,"abstract":"<div><p>In this note, we study the Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in <span>\\({\\text {CAT}}(1)\\)</span> space. Under the setting, we prove that the Korevaar–Schoen energy admits a unique minimizer.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in \\\\({\\\\text {CAT}}(1)\\\\) spaces\",\"authors\":\"Yohei Sakurai\",\"doi\":\"10.1007/s10455-023-09924-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this note, we study the Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in <span>\\\\({\\\\text {CAT}}(1)\\\\)</span> space. Under the setting, we prove that the Korevaar–Schoen energy admits a unique minimizer.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10455-023-09924-x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10455-023-09924-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in \({\text {CAT}}(1)\) spaces
In this note, we study the Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in \({\text {CAT}}(1)\) space. Under the setting, we prove that the Korevaar–Schoen energy admits a unique minimizer.
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