Calculus of Variations and Geometric Measure Theory
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A. Baldi - B. Franchi

Sharp a priori estimates for div-curl systems in Heisenberg groups

created by franchib on 09 Apr 2013

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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


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