1 citations · 2 across the 10 of their papers we have counts for
10 papers
Curvature estimates for minimal hypersurfaces in the Heisenberg group
Gianmarco Giovannardi, Andrea Pinamonti, Simone Verzellesi
This paper examines minimal hypersurfaces in sub-Riemannian Heisenberg groups. We extend the celebrated Simons formula and Kato inequality to the sub-Riemannian setting, and we app…
Existence and uniqueness of -graphs of prescribed mean curvature in Heisenberg groups
Julián Pozuelo, Simone Verzellesi
We study the prescribed mean curvature equation for -graphs in a Riemannian Heisenberg group of arbitrary dimension. We characterize the existence of classical solutions in a bo…
Lipschitz approximation of almost -perimeter minimizing boundaries in plentiful groups
Andrea Pinamonti, Giorgio Stefani, Simone Verzellesi
We prove that the boundary of an almost minimizer of the intrinsic perimeter in a plentiful group can be approximated by intrinsic Lipschitz graphs. Plentiful groups are Carnot gro…
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups
Fares Essebei, Gianmarco Giovannardi, Simone Verzellesi
In this paper we study Monge solutions to stationary Hamilton-Jacobi equations associated to discontinuous Hamiltonians in the framework of Carnot groups. After showing the equival…
A characterization of horizontally totally geodesic hypersurfaces in Heisenberg groups
Andrea Pinamonti, Simone Verzellesi
In this paper we achieve a first concrete step towards a better understanding of the so-called Bernstein problem in higher dimensional Heisenberg groups. Indeed, in the sub-Riemann…
The asymptotic -Poisson equation as in Carnot-Carathéodory spaces
Luca Capogna, Gianmarco Giovannardi, Andrea Pinamonti +1
In this paper we study the asymptotic behavior of solutions to the subelliptic -Poisson equation as in Carnot Carathéodory spaces. In particular, introducing a su…
The prescribed mean curvature equation for -graphs in the sub-Finsler Heisenberg group
Gianmarco Giovannardi, Andrea Pinamonti, Julián Pozuelo +1
We study the sub-Finsler prescribed mean curvature equation, associated to a strictly convex body , for -graphs on a bounded domain in the Hei…
The Aronsson Equation for Absolute Minimizers of Supremal Functionals in Carnot-Carathéodory Spaces
Andrea Pinamonti, Simone Verzellesi, Changyou Wang
Given a family of vector fields which induces a continuous Carnot-Carathéodory distance, we show that any absolute minimizer of a supremal functional defined by…
Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting
Alessio Fiscella, Greta Marino, Andrea Pinamonti +1
This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity r…
-Compactness of Some Classes of Integral Functionals Depending on Vector Fields
Fares Essebei, Simone Verzellesi
In this paper we achieve some -compactness results for suitable classes of integral functionals depending on a given family of Lipschitz vector fields, with respect to both the…