New estimates for elliptic equations and Hodge type systems

• Autores: Jean Bourgain, Haim Brezis
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 9, Nº 2, 2007, págs. 277-315
• Idioma: inglés
• DOI: 10.4171/jems/80
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• Resumen

  • We establish new estimates for the Laplacian, the div-curl system, and more general Hodge systems in arbitrary dimension n, with data in L1. We also present related results concerning differential forms with coefficients in the limiting Sobolev space W1,n.