Compensated compactness for differential forms in Carnot groups and applications |
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| Authors: | Annalisa Baldi Nicoletta Tchou |
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| Institution: | a Dipartimento di Matematica, Piazza di Porta S. Donato 5, 40127 Bologna, Italy
b Institut de Recherche Mathématique de Rennes (IRMAR), Campus de Beaulieu, Université de Rennes I, 35042 Rennes, France |
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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 Ls-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. |
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| Keywords: | 43A80 58A10 58A25 35B27 |
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