{"title":"环状区域中serrin型问题的对称性结果","authors":"S. Borghini","doi":"10.3934/mine.2023027","DOIUrl":null,"url":null,"abstract":"<abstract><p>In this work, we employ the technique developed in <sup>[<xref ref-type=\"bibr\" rid=\"b2\">2</xref>]</sup> to prove rotational symmetry for a class of Serrin-type problems for the standard Laplacian. We also discuss in some length how our strategy compares with the classical moving plane method.</p></abstract>","PeriodicalId":54213,"journal":{"name":"Mathematics in Engineering","volume":"65 9","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2021-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Symmetry results for Serrin-type problems in ring-shaped domains\",\"authors\":\"S. Borghini\",\"doi\":\"10.3934/mine.2023027\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<abstract><p>In this work, we employ the technique developed in <sup>[<xref ref-type=\\\"bibr\\\" rid=\\\"b2\\\">2</xref>]</sup> to prove rotational symmetry for a class of Serrin-type problems for the standard Laplacian. We also discuss in some length how our strategy compares with the classical moving plane method.</p></abstract>\",\"PeriodicalId\":54213,\"journal\":{\"name\":\"Mathematics in Engineering\",\"volume\":\"65 9\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2021-10-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics in Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.3934/mine.2023027\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics in Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.3934/mine.2023027","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Symmetry results for Serrin-type problems in ring-shaped domains
In this work, we employ the technique developed in [2] to prove rotational symmetry for a class of Serrin-type problems for the standard Laplacian. We also discuss in some length how our strategy compares with the classical moving plane method.