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.
Cite this article
Haïm Brezis, Jean Bourgain, New estimates for elliptic equations and Hodge type systems. J. Eur. Math. Soc. 9 (2007), no. 2, pp. 277–315DOI 10.4171/JEMS/80