@article{fdb4f5372fab4b66a69d2d407324e7bc,
title = "A partial solution of the isoperimetric problem for the Heisenberg group",
abstract = "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.",
author = "Donatella Danielli and Nicola Garofalo and Nhieu, {Duy Minh} and Giorgio Talenti",
note = "Funding Information: First author supported in part by NSF grants DMS-0002801 and CAREER DMS-0239771. Second author supported in part by NSF Grants DMS-0070492 and DMS-0300477.",
year = "2008",
month = jan,
day = "1",
doi = "10.1515/FORUM.2008.005",
language = "???core.languages.en_GB???",
volume = "20",
pages = "99--143",
journal = "Forum Mathematicum",
issn = "0933-7741",
number = "1",
}