31 citations · 33 across the 2 of their papers we have counts for
3 papers
math.MG2013
Smoothness of subRiemannian isometries
Luca Capogna, Enrico Le Donne
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finite-dimensional Lie group of smooth transformations…
math.AP2008★ 2 cited
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…
math.AP2005★ 31 cited
The mixed problem in L^p for some two-dimensional Lipschitz domains
Loredana Lanzani, Luca Capogna, Russell Brown
We consider the mixed problem for the Laplace operator in a class of Lipschitz graph domains in two dimensions with Lipschitz constant at most 1. The boundary of the domain is deco…