平面上多膜问题的自由边界规则性

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2021-09-21 DOI:10.1515/crelle-2023-0014

O. Savin, Hui Yu

{"title":"平面上多膜问题的自由边界规则性","authors":"O. Savin, Hui Yu","doi":"10.1515/crelle-2023-0014","DOIUrl":null,"url":null,"abstract":"Abstract We study the regularity of free boundaries in the multiple elastic membrane problem in the plane. We prove the uniqueness of blow-ups, and that the free boundaries are C 1 , log {C^{1,\\log}} -curves near a regular intersection point.","PeriodicalId":54896,"journal":{"name":"Journal fur die Reine und Angewandte Mathematik","volume":"1 1","pages":"109 - 154"},"PeriodicalIF":1.2000,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Free boundary regularity in the multiple membrane problem in the plane\",\"authors\":\"O. Savin, Hui Yu\",\"doi\":\"10.1515/crelle-2023-0014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We study the regularity of free boundaries in the multiple elastic membrane problem in the plane. We prove the uniqueness of blow-ups, and that the free boundaries are C 1 , log {C^{1,\\\\log}} -curves near a regular intersection point.\",\"PeriodicalId\":54896,\"journal\":{\"name\":\"Journal fur die Reine und Angewandte Mathematik\",\"volume\":\"1 1\",\"pages\":\"109 - 154\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2021-09-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal fur die Reine und Angewandte Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/crelle-2023-0014\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal fur die Reine und Angewandte Mathematik","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/crelle-2023-0014","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

研究了平面上多弹性膜问题中自由边界的正则性。我们证明了爆破的唯一性，并证明了自由边界是c1, log {C^{1，\log}} -正则交点附近的曲线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Free boundary regularity in the multiple membrane problem in the plane

Abstract We study the regularity of free boundaries in the multiple elastic membrane problem in the plane. We prove the uniqueness of blow-ups, and that the free boundaries are C 1 , log {C^{1,\log}} -curves near a regular intersection point.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.