Compensated compactness for differential forms in Carnot groups and applications

By A. Baldi, Bruno Franchi, Nicoletta Tchou, Maria Carla Tesi. 2010

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Abstract In this paper we prove a compensated compactness theorem for differential forms of the intrinsic complex of a Carnot group. The proof relies on an L s -Hodge decomposition for these forms. Because of the lack of homogeneity of the intrinsic exterior differential, Hodge decomposition is proved using the parametrix of a suitable 0-order Laplacian on forms.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fe146c70e162e59f2c6dcd17f64dc48f93156fc4