Title: Compensated compactness in the contact complex of Heisenberg groups

Authors: Annalisa Baldi, Bruno Franchi and Maria Carla Tesi

Issue: Volume 57 (2008), Issue 1, 133-186

Abstract: In this paper we prove a compensated compactness theorem for differential forms in the contact complex of Heisenberg group. The proof relies on a $L^{p}$-Hodge decomposition for intrinsic Heisenberg forms, and suitable $L^{p}$ estimates for the Laplace operator associated with the contact complex.