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math.DG2025
The Bernstein problem for Sobolev intrinsic graphs in the Heisenberg group
Sebastiano Nicolussi Golo, Francesco Serra Cassano, Mattia Vedovato
In the first Heisenberg group, we study entire, locally Sobolev intrinsic graphs that are stable for the sub-Riemannian area. We show that, under appropriate integrability conditio…
math.DG2012★ 18 cited
Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation
Francesco Bigolin, Laura Caravenna, Francesco Serra Cassano
In this paper we provide a characterization of intrinsic Lipschitz graphs in the sub-Riemannian Heisenberg groups in terms of their distributional gradients. Moreover, we prove the…