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 (2010). Compensated Compactness for Differential Forms in Carnot Groups and Applications. ADVANCES IN MATHEMATICS, 223, 1555-1607 [10.1016/j.aim.2009.09.020].
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.File in questo prodotto:
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