{"title":"具有连通边界和任意属的自由边界极小曲面","authors":"A. Carlotto, Giada Franz, Mario B. Schulz","doi":"10.4310/CJM.2022.v10.n4.a3","DOIUrl":null,"url":null,"abstract":"We employ min-max techniques to show that the unit ball in $\\mathbb{R}^3$ contains embedded free boundary minimal surfaces with connected boundary and arbitrary genus.","PeriodicalId":48573,"journal":{"name":"Cambridge Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2020-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"23","resultStr":"{\"title\":\"Free boundary minimal surfaces with connected boundary and arbitrary genus\",\"authors\":\"A. Carlotto, Giada Franz, Mario B. Schulz\",\"doi\":\"10.4310/CJM.2022.v10.n4.a3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We employ min-max techniques to show that the unit ball in $\\\\mathbb{R}^3$ contains embedded free boundary minimal surfaces with connected boundary and arbitrary genus.\",\"PeriodicalId\":48573,\"journal\":{\"name\":\"Cambridge Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2020-01-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"23\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cambridge Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/CJM.2022.v10.n4.a3\",\"RegionNum\":2,\"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":"Cambridge Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/CJM.2022.v10.n4.a3","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Free boundary minimal surfaces with connected boundary and arbitrary genus
We employ min-max techniques to show that the unit ball in $\mathbb{R}^3$ contains embedded free boundary minimal surfaces with connected boundary and arbitrary genus.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
