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math.DG2021
The Bernstein problem for -Lipschitz surfaces in three-dimensional sub-Finsler Heisenberg groups
Gianmarco Giovannardi, Manuel Ritoré
We prove that in the Heisenberg group with a sub-Finsler structure, an -Lipschitz surface which is complete, oriented, connected and stable must be a vertical…
math.AP2021
Schauder estimates up to the boundary on H-type groups: an approach via the double layer potential
Giovanna Citti, Gianmarco Giovannardi, Yannick Sire
We establish the Schauder estimates at the boundary away from the characteristic points for the Dirichlet problem by means of the double layer potential in a Heisenberg-type group…