{"title":"A symmetry result for fully nonlinear problems in exterior domains","authors":"David Stolnicki","doi":"10.1007/s00030-024-00930-x","DOIUrl":null,"url":null,"abstract":"<p>We study an overdetermined fully nonlinear problem driven by one of the Pucci’s Extremal Operators in an external domain. Under certain decay assumptions on the solution, we extend Serrin’s symmetry result, i.e, every domain where the solution exists must be radial.</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"40 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-23","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/s00030-024-00930-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study an overdetermined fully nonlinear problem driven by one of the Pucci’s Extremal Operators in an external domain. Under certain decay assumptions on the solution, we extend Serrin’s symmetry result, i.e, every domain where the solution exists must be radial.
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