Paolo Caldiroli, Gabriele Cora, Alessandro Iacopetti
{"title":"具有固定边界和规定的几乎恒定的平均曲率的环形曲面","authors":"Paolo Caldiroli, Gabriele Cora, Alessandro Iacopetti","doi":"10.1007/s00030-023-00915-2","DOIUrl":null,"url":null,"abstract":"<p>We prove existence and nonexistence results for annular type parametric surfaces with prescribed, almost constant mean curvature, characterized as normal graphs of compact portions of unduloids or nodoids in <span>\\({\\mathbb {R}}^{3}\\)</span>, and whose boundary consists of two coaxial circles of the same radius.</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"171 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature\",\"authors\":\"Paolo Caldiroli, Gabriele Cora, Alessandro Iacopetti\",\"doi\":\"10.1007/s00030-023-00915-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We prove existence and nonexistence results for annular type parametric surfaces with prescribed, almost constant mean curvature, characterized as normal graphs of compact portions of unduloids or nodoids in <span>\\\\({\\\\mathbb {R}}^{3}\\\\)</span>, and whose boundary consists of two coaxial circles of the same radius.</p>\",\"PeriodicalId\":501665,\"journal\":{\"name\":\"Nonlinear Differential Equations and Applications (NoDEA)\",\"volume\":\"171 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Differential Equations and Applications (NoDEA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s00030-023-00915-2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Differential Equations and Applications (NoDEA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00030-023-00915-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature
We prove existence and nonexistence results for annular type parametric surfaces with prescribed, almost constant mean curvature, characterized as normal graphs of compact portions of unduloids or nodoids in \({\mathbb {R}}^{3}\), and whose boundary consists of two coaxial circles of the same radius.
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