A partial solution of the isoperimetric problem for the Heisenberg group

Donatella Danielli, Nicola Garofalo, Duy Minh Nhieu, Giorgio Talenti

研究成果: 雜誌貢獻期刊論文同行評審

18 引文 斯高帕斯(Scopus)

摘要

We provide a solution to the isoperimetric problem in the Heisenberg group n when the competing sets belong to a restricted class of C 2 graphs. Within this restricted class we characterize the isoperimetric profiles as the bubble sets (1.5) (modulo nonisotropic dilations and left-translations). We also compute the isoperimetric constant.

原文???core.languages.en_GB???
頁(從 - 到)99-143
頁數45
期刊Forum Mathematicum
20
發行號1
DOIs
出版狀態已出版 - 1 1月 2008

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