@article{c7e5cdfc5645443a8efbc8d48f5429cc,
title = "Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips",
abstract = "We consider the class of minimal surfaces given by the graphical strips S in the Heisenberg group H1 and we prove that for points p along the center of H1 the quantity is monotone increasing. Here, Q is the homogeneous dimension of H1. We also prove that these minimal surfaces have maximum volume growth at infinity.",
keywords = "First and second variation, H-mean curvature, Integration by parts, Minimal surfaces, Monotonicity of the H-perimeter",
author = "D. Danielli and N. Garofalo and Nhieu, {D. M.}",
note = "Funding Information: D. Danielli was supported in part by NSF grant CAREER DMS-0239771. N. Garofalo was supported in part by NSF Grant DMS-0701001.",
year = "2010",
month = jul,
doi = "10.1007/s00209-009-0533-8",
language = "???core.languages.en_GB???",
volume = "265",
pages = "617--637",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
number = "3",
}