{"title":"无相边界问题的非齐次全局极小化","authors":"D. De Silva, D. Jerison, H. Shahgholian","doi":"10.1080/03605302.2022.2051187","DOIUrl":null,"url":null,"abstract":"Abstract Given a global 1-homogeneous minimizer U 0 to the Alt-Caffarelli energy functional, with we provide a foliation of the half-space with dilations of graphs of global minimizers with analytic free boundaries at distance 1 from the origin.","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2021-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Inhomogeneous global minimizers to the one-phase free boundary problem\",\"authors\":\"D. De Silva, D. Jerison, H. Shahgholian\",\"doi\":\"10.1080/03605302.2022.2051187\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Given a global 1-homogeneous minimizer U 0 to the Alt-Caffarelli energy functional, with we provide a foliation of the half-space with dilations of graphs of global minimizers with analytic free boundaries at distance 1 from the origin.\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2021-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/03605302.2022.2051187\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03605302.2022.2051187","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
Inhomogeneous global minimizers to the one-phase free boundary problem
Abstract Given a global 1-homogeneous minimizer U 0 to the Alt-Caffarelli energy functional, with we provide a foliation of the half-space with dilations of graphs of global minimizers with analytic free boundaries at distance 1 from the origin.
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