Calculus of Variations and Geometric Measure Theory

G. Giovannardi - S. Verzellesi

The Bernstein problem in higher dimensional Heisenberg groups

created by verzellesi on 09 Oct 2026

[BibTeX]

Preprint

Inserted: 9 oct 2026
Last Updated: 9 oct 2026

Year: 2026

Abstract:

In every sub-Riemannian Heisenberg group $\mathbb H^n$, with $n\geq 2$, we prove the existence of a global perimeter minimizer whose boundary is a smooth, non-characteristic, entire intrinsic graph but it is not a vertical hyperplane.


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