Calculus of Variations and Geometric Measure Theory

M. Vedovato - F. Serra Cassano

The Bernstein problem in Heisenberg groups

created by vedovato on 09 Dec 2019
modified on 18 Jun 2020


Published Paper

Inserted: 9 dec 2019
Last Updated: 18 jun 2020

Journal: Le Matematiche
Volume: 75
Number: 1
Pages: 377-403
Year: 2020


These notes aim to review results and open problems concerning the so-called Bernstein’s problem for entire area minimizing graphs of (topological) codimension 1, in the setting of sub-Riemannian Heisenberg groups.

Keywords: Bernstein problem, Heisenberg group, minimal surfaces