most citedRegularity of non-characteristic minimal graphs in the Heisenberg group

18 citations · 18 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2008

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.

math.AP2008★ 18 cited

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…

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…