3 papers
math.DG2008
Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips
D. Danielli, N. Garofalo, D. M. Nhieu
We prove a monotonicity result at specific points for the Horizontal Perimeter for a class of surfaces in the Heisenberg group.
math.AP2008
Interior Cauchy-Schauder estimates for the heat flow in Carnot-Caratheodory spaces
Donatella Danielli, Nicola Garofalo
The purpose of this paper is to establish some basic interior estimates of Cauchy-Schauder type for the heat flow associated with a system of smooth vector fields satisfying Horman…
math.AP2008
Inequalities of Hardy-Sobolev type in Carnot-Carathéodory spaces
Donatella Danielli, Nicola Garofalo, Nguyen Cong Phuc
We consider various types of Hardy-Sobolev inequalities on a Carnot-Carathéodory space $(\Om, d)$ associated to a system of smooth vector fields on $\RR^n$…