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# Minimal Graphs in the Heisenberg Space

## Barbara Nelli Università degli Studi di L'Aquila

I will talk about the existence and the non existence of minimal graphs in the Heisenberg space, with a given boundary. Moreover height and area estimates for such graphs are obtained.

Seminario 1ª planta, IEMath

# Minimal surfaces with two ends in $\mathbb{H}^2\times\mathbb{R}$

## Barbara Nelli Università degli Studi di L'Aquila

How the shape of the ends of a minimal surface determines the surface itself? We discuss the problem for minimal surfaces with two ends in $\mathbb{H}^2\times\mathbb{R}$. Namely, we prove a Schoen type theorem for such surfaces.

# Vertical Ends of Constant Mean Curvature $H=1/2$ in $H^2xR$

## Barbara Nelli Università degli Studi di L'Aquila

We prove existence of graphs over exterior domains of $H^2$ with constant mean curvature $H=1/2$ in $H^2xR$, provided the boundary curve satisfies some geometric conditions. Furthermore, we prove a vertical halfspace theorem for surfaces with constant mean curvature $H=1/2$ properly immersed in $H^2xR$.

Seminario del Dpto. de Análisis Matemático.

# Barbara Nelli

## Università degli Studi di L'Aquila

Number of talks
3
Number of visits
9
Last visit
Personal website
Profile in Mathscinet
Profile in Zentralblatt
Country of origin
Italia