Sharp Hodge decompositions in two and three dimensional Lipschitz domains
[Décompositions de Hodge optimales pour les domaines lipschitziens en dimensions deux et trois]
Mitrea, Dorina1 ; Mitrea, Marius1
1 Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211, USA
Comptes Rendus. Mathématique, Tome 334 (2002) no. 2, pp. 109-112.

Nous identifionsla gamme optimale des coefficients s, p pour lesquels les formes différentielles à coefficients dans l'espace de Sobolev L s p (Ω) admettent des décompositions de Hodge naturelles, pour des domaines lipschitziens Ω arbitraires de dimensions deux et trois.

We identify the optimal range of coefficients s, p for which differential forms with coefficients in the Sobolev space L s p (Ω) admit natural Hodge decompositions in arbitrary two and three dimensional Lipschitz domains Ω.

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Accepté le :
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DOI : 10.1016/S1631-073X(02)02232-X
Mitrea, Dorina 1 ; Mitrea, Marius 1

1 Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211, USA 
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     title = {Sharp {Hodge} decompositions in two and three dimensional {Lipschitz} domains},
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Mitrea, Dorina; Mitrea, Marius. Sharp Hodge decompositions in two and three dimensional Lipschitz domains. Comptes Rendus. Mathématique, Tome 334 (2002) no. 2, pp. 109-112. doi : 10.1016/S1631-073X(02)02232-X. http://www.numdam.org/articles/10.1016/S1631-073X(02)02232-X/

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