Inserted: 2 jan 2023
Journal: Geometric Methods in PDE’s. Springer INdAM Series
Recently, Bourgain and Brezis and Lanzani and Stein considered a class of div-curl inequalities in de Rham’s complex. In this note, we prove the natural counterpart of these inequalities for horizontal vector fields in the Engel group and in the seven-dimensional quaternionic Heisenberg group.