Giovanna Citti

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

H^{1}

18 citations · 20 across the 3 of their papers we have counts for

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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.AP2008

Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups $H^{n}, n > 1$

Luca Capogna, Giovanna Citti, Maria Manfredini

We prove that Lipschitz intrinsic graphs in the Heisenberg groups $H^{n}$ , with $n > 1$ , 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 $H^{1}$

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…

Generalized mean curvature flow in Carnot groups

Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups Hn,n>1

Regularity of non-characteristic minimal graphs in the Heisenberg group H1

Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups $H^{n}, n > 1$

Regularity of non-characteristic minimal graphs in the Heisenberg group $H^{1}$