JournalsjemsVol. 9, No. 2pp. 277–315

New estimates for elliptic equations and Hodge type systems

  • Jean Bourgain

    Institute for Advanced Study, Princeton, United States

  • Haïm Brezis

    Rutgers University, Piscataway, United States
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Abstract

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

Jean Bourgain, Haïm Brezis, New estimates for elliptic equations and Hodge type systems. J. Eur. Math. Soc. 9 (2007), no. 2, pp. 277–315

DOI 10.4171/JEMS/80