Calculus of Variations and Geometric Measure Theory

A. Baldi - B. Franchi - F. Tripaldi

Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group

created by tripaldi on 02 Jan 2023


Published Paper

Inserted: 2 jan 2023

Journal: Geometric Methods in PDE’s. Springer INdAM Series
Volume: 13
Year: 2015


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.