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

22 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

指紋

深入研究「A partial solution of the isoperimetric problem for the Heisenberg group」主題。共同形成了獨特的指紋。

引用此