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.

Compensated Compactness for Differential Forms in Carnot Groups and Applications

BALDI, ANNALISA;FRANCHI, BRUNO;TESI, MARIA CARLA
2010

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.
A. Baldi; B. Franchi; N. Tchou; M. C. Tesi
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/82084
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