2 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
Mutual Absolute Continuity of Harmonic and Surface Measures for Hormander Type Operators
Luca Capogna, Nicola Garofalo, Duy-Minh Nhieu
In this paper, we consider the Sub-Laplacian L which consists of sum of squares of smooth vector fields that satisfy Hormander's finite rank condition. We study the Dirichlet probl…