Submitted Paper
Inserted: 9 apr 2013
Last Updated: 9 apr 2013
Year: 2013
Abstract:
In this Note we prove a family of inequalities for differential forms in Heisenberg groups $\mathbb H^{1}$ and $\mathbb H^{2}$, that are the natural counterpart of a class of div-curl inequalities in de Rham's complex proved by Lanzani \& Stein and Bourgain \& Brezis.
Keywords: Differential forms, Heisenberg groups, Gagliardo-Nirenberg inequalities, div-curl systems
Download: