2 citations · 2 across the 1 of their papers we have counts for
4 papers
Generalized mean curvature flow in Carnot groups
Luca Capogna, Giovanna Citti
In this paper we study the generalized mean curvature flow of sets in the sub-Riemannian geometry of Carnot groups. We extend to our context the level sets method and the weak (vis…
Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups
Luca Capogna, Giovanna Citti, Maria Manfredini
We prove that Lipschitz intrinsic graphs in the Heisenberg groups , with , which are vanishing viscosity solutions of the minimal surface equation are smooth.
Regularity of non-characteristic minimal graphs in the Heisenberg group
Luca Capogna, Giovanna Citti, Maria Manfredini
Minimal surfaces in the sub-Riemannian Heisenberg group can be constructed by means of a Riemannian approximation scheme, as limit of Riemannian minimal surfaces. We study the regu…
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…