Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups

Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the results recently obtained in [32] and, in particular, an intrinsic isoperimetric inequality for a C2-smooth compact hypersurface S with boundary @S. We stress that S and @S are endowed with the homogeneo...

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Bibliographic Details
Main Author: Francesco Paolo Montefalcone
Format: Article
Language:English
Published: University of Bologna 2010-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Online Access:http://mathematicalanalysis.unibo.it/article/view/2254